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About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

Apr 14, 2018

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Page 1: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

About College

Golden Valley Integrated Campus (GVIC) is the first Integrated Campus in the

Rayalaseema Region GVIC is located in a pleasant and serene background on National High

Way 205 11 KM`s from Madanapalle and 20km from the Andhra Ooty Horsley Hills Our

Institute has been named with the sacred belief of turning young people`s future into a

Golden path

Madanapalle has been an Educational and Cultural centre since early 1915 when Dr

Anne Besant started Besant Theosophical College famously known as BT The BT College

was initially part of National University to which Dr Rabindranatha Tagore was Vice

Chancellor

Sri NVRamana Reddy along with several other professionals and academicians has

been striving hard to promote the best educational standards with international

practices to improve the quality of professional education in rural areas

Sri NV Ramana ReddyMTech (Gold Medalist) (PhD) British Citizen

Secretary and Correspondent

On Behalf of the ICATEMS 2017 Organizing CommitteeI amHonoured and Delighted to

Welcome you all to the 1st International Conference on Advanced Technologies in Engineering

Management and Sciences-ICATEMSrsquo17 I Believe We have chosen a venue that guarantees a

Successful International Conference amid the culture and brandGolden Valley Integrated Campus

hasalways been a front runner in Organizing Events and this time we are more Happy to support in

organizing International Conference atGolden Valley Institution-Creating Hardworking Strong amp

EthicalMinds Together

The Technology is developing at a very fast paceWe have observed that the progress of last

10 years is much more than last 100 years as we allknow that our Country can only make progress if

the Scientists and Technocrats can utilize their knowledge for Exploring newer fields of Research and

DevelopmentWe experience new Development every day and every momentTechnology is changing

and new areas of Research are coming up

Now it is high time that everybody from us have to think and commit for positive

contributionMoreover there is a growing need of more and more Industry Institute Interaction and

Linkage The Young Faculty Members ofGolden Valley Integrated Campus (GVIC)have rightly sensed

the need and provided a good platform for the Research all around the Globe to bring forward their

thoughts and help society at large Many congratulations to the ConvenerProfessors and the

Organizing Committee Members for organizing an event of International Stature

I Extend Special thanks to MrKedarnath PandaSolution Architect Tech Mahindra Carson

City Nevada US and ProfSKrishnaiah Registrar of JNTU Anantapur andMany Engineering colleges

like RMK Group Saveetha University Sathyabhama University and all from Tamil Nadu JNTUA

Anantapur and all Engineering Colleges from Andhra Pradesh and other States for making this Event a

Grand Success

Sri NV Ramana ReddyGolden Valley Group of InstitutionsMadanapalle Andhra Pradesh India

DrMNARAYANAN ME PhDPRINCIPAL

Golden Valley Integrated Campus (GVIC)

For those who cant read Tamizh

ThottanaithuOorummanarkenimaandharkuKattranaithuoorumarivuThe above Tamil proverb is interpreted in English as follows The flow of water to the sand from a well

will be in proportion to the depth of the well Similarly knowledge will flow from a man in proportion to the depth

of his learning Relating this proverb to you in this context ldquoAs a researcher your mind yields more knowledge

every time you learn Thus the knowledge grows So the more you research the deeper the fact you are inrdquo

It gives me immense pleasure to extend a hearty welcome to all the delegates participating in the

1stInternational Conference on Advanced Technologies in Engineering Management and

SciencesICATEMSrsquo17conducted by the Golden Valley Integrated Campus (GVIC) Madanapalle The key

behind this conference is to open a discussion forum promote logical thinking and pave the way to formulate

innovative ideas explore greater vistas of knowledge and be an ideal platform to share the universal views on the

latest trends I am sure the conference will be highly informative for research scholars professionals from academic

industry and the student community as well

I encourage the students research scholars industrialists scientists and engineers to participate

enthusiastically towards knowledge exchanges during the conference I once again invite all delegates to our serene

campus I also congratulate the organizers for the efforts they have put in and wish the conference a great success

As the Chair of the ICATEMSrsquo17 I assure all the delegates that rigorous planning has gone into knitting a

technically rich Programme I take pride to place on record the untiring efforts put in by the entire team of

ICATEMSrsquo17 for this global conference I am sure that this conference will add another jewel to the crown of

GVIC

I wish and pray for successful conduct of this event

DrMNARAYANAN ME PhDPRINCIPAL

Golden Valley Integrated Campus (GVIC)

Prof KPrahlada Rao

Member of EC

Jawaharlal Nehru Technological University Anantapur

PRINCIPAL

JNTU College of EngineeringAnanthapuramu

Its my immense pleasure to associate with the ICATEMS17 I wish it provides vibrant

environment to all the participants and brings out the best of the delegates and also unleashes most

memorable moments in Madanapalle academic ambience

All the very best

DrRamalingam JaganathanMSPhD(IIT-Madras)MBA GDMM

Director(Research)Golden Valley Integrated Campus

I am indeed privileged and delighted to note that the 1st International Conference on

Advanced Technologies in Engineering Management and Sciences which is scheduled on

November 16thamp 17th 2017 is organized by the Golden Valley Integrated Campus (GVIC)

Madanapalli affiliated to JNTU Ananthapur Andhra Pradesh India

It is high time to create and nurture research activities among the budding citizensI am sure

that theConference of such nature provide a great opportunity to engineering science and

managementfraternities not only to update knowledge and keep obsessed with the latest scenario

across the world in theirrespective fields I am sure that the delegates will be able to have a good

interaction with exchange ofthoughts and experienceI am confident that the outcome of this

conference will result in betterment to the overall growth of our state Andhra Pradesh as well as our

Nation

I take this opportunity to extend the warm welcome to all the resource persons and

delegatesregistered for this 1st International Conference on Advanced Technologies in

EngineeringManagement and Sciences

My best wishes to the convener DrMNarayanan ME PhD and his team for the conduct of

this International Conference

DrRamalingam Jaganathan

Director(Research)

Golden Valley Integrated Campus

Madanapalle

Dr Venkataramanaiah MCom (Gold medal)MBA (FinampHRM) UGC NET (ComampMgnt) MPhil PhD

DEANGolden Valley Institute of Management

It gives me a great pleasure to welcome all of you from different national frontiers of the

world to the 1st International Conference on Advanced Technologies in Engineering Management and

Sciences (ICATEMS 17) to be held at Golden Valley Integrated Campus (GVIC) Madanapalle

affiliated to JNTUA Anathapuram Andhra Pradesh on November 16th and 17th 2017 As a

researcher I do realize the importance of International Conferences and the kind to nurture the

budding minds that suits the institutional as well as national interests as a whole

I do believe that research and development activities are considered as spine for novel and

creative thinking to see the life of humankind in the better way Hence it is considered as the need of

the hour to engage more in research activities through academics coupled with industry I am certain

that the present international conference will be a platform to both the academicians and entrepreneurs

in the echelon of engineering management and basic sciences to cope up with the present

requirements of the business world Further I am to state that the delegates will be enlightened with

good amount of interaction in the field of their study in and out I am confident that the conference

will produce deep insights within the scope of the conference and it helps the Government of Andhra

Pradesh n particular and the Nation in general in policy making in the years to come

I take this opportunity to extend the warm welcome to the Invitees delegates resource

persons and student fraternity for their active participation in this mega event

My heartfelt thanks are due with Shri NVRamana Reddy Patron ICATEMS 17 Secretary

and Correspondent GVIC for his continues supporting to reach out the predefined objectives at

institutional level Least but not last my best wishes to Dr M Narayanan ME PhDConvener

ICATEMS 17 and his team for having conduct of International Conference in a grand scale

Dr Venkataramanaiah M

DEAN

Golden Valley Institute of

Management Madanapalle

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 2: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

Sri NV Ramana ReddyMTech (Gold Medalist) (PhD) British Citizen

Secretary and Correspondent

On Behalf of the ICATEMS 2017 Organizing CommitteeI amHonoured and Delighted to

Welcome you all to the 1st International Conference on Advanced Technologies in Engineering

Management and Sciences-ICATEMSrsquo17 I Believe We have chosen a venue that guarantees a

Successful International Conference amid the culture and brandGolden Valley Integrated Campus

hasalways been a front runner in Organizing Events and this time we are more Happy to support in

organizing International Conference atGolden Valley Institution-Creating Hardworking Strong amp

EthicalMinds Together

The Technology is developing at a very fast paceWe have observed that the progress of last

10 years is much more than last 100 years as we allknow that our Country can only make progress if

the Scientists and Technocrats can utilize their knowledge for Exploring newer fields of Research and

DevelopmentWe experience new Development every day and every momentTechnology is changing

and new areas of Research are coming up

Now it is high time that everybody from us have to think and commit for positive

contributionMoreover there is a growing need of more and more Industry Institute Interaction and

Linkage The Young Faculty Members ofGolden Valley Integrated Campus (GVIC)have rightly sensed

the need and provided a good platform for the Research all around the Globe to bring forward their

thoughts and help society at large Many congratulations to the ConvenerProfessors and the

Organizing Committee Members for organizing an event of International Stature

I Extend Special thanks to MrKedarnath PandaSolution Architect Tech Mahindra Carson

City Nevada US and ProfSKrishnaiah Registrar of JNTU Anantapur andMany Engineering colleges

like RMK Group Saveetha University Sathyabhama University and all from Tamil Nadu JNTUA

Anantapur and all Engineering Colleges from Andhra Pradesh and other States for making this Event a

Grand Success

Sri NV Ramana ReddyGolden Valley Group of InstitutionsMadanapalle Andhra Pradesh India

DrMNARAYANAN ME PhDPRINCIPAL

Golden Valley Integrated Campus (GVIC)

For those who cant read Tamizh

ThottanaithuOorummanarkenimaandharkuKattranaithuoorumarivuThe above Tamil proverb is interpreted in English as follows The flow of water to the sand from a well

will be in proportion to the depth of the well Similarly knowledge will flow from a man in proportion to the depth

of his learning Relating this proverb to you in this context ldquoAs a researcher your mind yields more knowledge

every time you learn Thus the knowledge grows So the more you research the deeper the fact you are inrdquo

It gives me immense pleasure to extend a hearty welcome to all the delegates participating in the

1stInternational Conference on Advanced Technologies in Engineering Management and

SciencesICATEMSrsquo17conducted by the Golden Valley Integrated Campus (GVIC) Madanapalle The key

behind this conference is to open a discussion forum promote logical thinking and pave the way to formulate

innovative ideas explore greater vistas of knowledge and be an ideal platform to share the universal views on the

latest trends I am sure the conference will be highly informative for research scholars professionals from academic

industry and the student community as well

I encourage the students research scholars industrialists scientists and engineers to participate

enthusiastically towards knowledge exchanges during the conference I once again invite all delegates to our serene

campus I also congratulate the organizers for the efforts they have put in and wish the conference a great success

As the Chair of the ICATEMSrsquo17 I assure all the delegates that rigorous planning has gone into knitting a

technically rich Programme I take pride to place on record the untiring efforts put in by the entire team of

ICATEMSrsquo17 for this global conference I am sure that this conference will add another jewel to the crown of

GVIC

I wish and pray for successful conduct of this event

DrMNARAYANAN ME PhDPRINCIPAL

Golden Valley Integrated Campus (GVIC)

Prof KPrahlada Rao

Member of EC

Jawaharlal Nehru Technological University Anantapur

PRINCIPAL

JNTU College of EngineeringAnanthapuramu

Its my immense pleasure to associate with the ICATEMS17 I wish it provides vibrant

environment to all the participants and brings out the best of the delegates and also unleashes most

memorable moments in Madanapalle academic ambience

All the very best

DrRamalingam JaganathanMSPhD(IIT-Madras)MBA GDMM

Director(Research)Golden Valley Integrated Campus

I am indeed privileged and delighted to note that the 1st International Conference on

Advanced Technologies in Engineering Management and Sciences which is scheduled on

November 16thamp 17th 2017 is organized by the Golden Valley Integrated Campus (GVIC)

Madanapalli affiliated to JNTU Ananthapur Andhra Pradesh India

It is high time to create and nurture research activities among the budding citizensI am sure

that theConference of such nature provide a great opportunity to engineering science and

managementfraternities not only to update knowledge and keep obsessed with the latest scenario

across the world in theirrespective fields I am sure that the delegates will be able to have a good

interaction with exchange ofthoughts and experienceI am confident that the outcome of this

conference will result in betterment to the overall growth of our state Andhra Pradesh as well as our

Nation

I take this opportunity to extend the warm welcome to all the resource persons and

delegatesregistered for this 1st International Conference on Advanced Technologies in

EngineeringManagement and Sciences

My best wishes to the convener DrMNarayanan ME PhD and his team for the conduct of

this International Conference

DrRamalingam Jaganathan

Director(Research)

Golden Valley Integrated Campus

Madanapalle

Dr Venkataramanaiah MCom (Gold medal)MBA (FinampHRM) UGC NET (ComampMgnt) MPhil PhD

DEANGolden Valley Institute of Management

It gives me a great pleasure to welcome all of you from different national frontiers of the

world to the 1st International Conference on Advanced Technologies in Engineering Management and

Sciences (ICATEMS 17) to be held at Golden Valley Integrated Campus (GVIC) Madanapalle

affiliated to JNTUA Anathapuram Andhra Pradesh on November 16th and 17th 2017 As a

researcher I do realize the importance of International Conferences and the kind to nurture the

budding minds that suits the institutional as well as national interests as a whole

I do believe that research and development activities are considered as spine for novel and

creative thinking to see the life of humankind in the better way Hence it is considered as the need of

the hour to engage more in research activities through academics coupled with industry I am certain

that the present international conference will be a platform to both the academicians and entrepreneurs

in the echelon of engineering management and basic sciences to cope up with the present

requirements of the business world Further I am to state that the delegates will be enlightened with

good amount of interaction in the field of their study in and out I am confident that the conference

will produce deep insights within the scope of the conference and it helps the Government of Andhra

Pradesh n particular and the Nation in general in policy making in the years to come

I take this opportunity to extend the warm welcome to the Invitees delegates resource

persons and student fraternity for their active participation in this mega event

My heartfelt thanks are due with Shri NVRamana Reddy Patron ICATEMS 17 Secretary

and Correspondent GVIC for his continues supporting to reach out the predefined objectives at

institutional level Least but not last my best wishes to Dr M Narayanan ME PhDConvener

ICATEMS 17 and his team for having conduct of International Conference in a grand scale

Dr Venkataramanaiah M

DEAN

Golden Valley Institute of

Management Madanapalle

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

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34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 3: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

DrMNARAYANAN ME PhDPRINCIPAL

Golden Valley Integrated Campus (GVIC)

For those who cant read Tamizh

ThottanaithuOorummanarkenimaandharkuKattranaithuoorumarivuThe above Tamil proverb is interpreted in English as follows The flow of water to the sand from a well

will be in proportion to the depth of the well Similarly knowledge will flow from a man in proportion to the depth

of his learning Relating this proverb to you in this context ldquoAs a researcher your mind yields more knowledge

every time you learn Thus the knowledge grows So the more you research the deeper the fact you are inrdquo

It gives me immense pleasure to extend a hearty welcome to all the delegates participating in the

1stInternational Conference on Advanced Technologies in Engineering Management and

SciencesICATEMSrsquo17conducted by the Golden Valley Integrated Campus (GVIC) Madanapalle The key

behind this conference is to open a discussion forum promote logical thinking and pave the way to formulate

innovative ideas explore greater vistas of knowledge and be an ideal platform to share the universal views on the

latest trends I am sure the conference will be highly informative for research scholars professionals from academic

industry and the student community as well

I encourage the students research scholars industrialists scientists and engineers to participate

enthusiastically towards knowledge exchanges during the conference I once again invite all delegates to our serene

campus I also congratulate the organizers for the efforts they have put in and wish the conference a great success

As the Chair of the ICATEMSrsquo17 I assure all the delegates that rigorous planning has gone into knitting a

technically rich Programme I take pride to place on record the untiring efforts put in by the entire team of

ICATEMSrsquo17 for this global conference I am sure that this conference will add another jewel to the crown of

GVIC

I wish and pray for successful conduct of this event

DrMNARAYANAN ME PhDPRINCIPAL

Golden Valley Integrated Campus (GVIC)

Prof KPrahlada Rao

Member of EC

Jawaharlal Nehru Technological University Anantapur

PRINCIPAL

JNTU College of EngineeringAnanthapuramu

Its my immense pleasure to associate with the ICATEMS17 I wish it provides vibrant

environment to all the participants and brings out the best of the delegates and also unleashes most

memorable moments in Madanapalle academic ambience

All the very best

DrRamalingam JaganathanMSPhD(IIT-Madras)MBA GDMM

Director(Research)Golden Valley Integrated Campus

I am indeed privileged and delighted to note that the 1st International Conference on

Advanced Technologies in Engineering Management and Sciences which is scheduled on

November 16thamp 17th 2017 is organized by the Golden Valley Integrated Campus (GVIC)

Madanapalli affiliated to JNTU Ananthapur Andhra Pradesh India

It is high time to create and nurture research activities among the budding citizensI am sure

that theConference of such nature provide a great opportunity to engineering science and

managementfraternities not only to update knowledge and keep obsessed with the latest scenario

across the world in theirrespective fields I am sure that the delegates will be able to have a good

interaction with exchange ofthoughts and experienceI am confident that the outcome of this

conference will result in betterment to the overall growth of our state Andhra Pradesh as well as our

Nation

I take this opportunity to extend the warm welcome to all the resource persons and

delegatesregistered for this 1st International Conference on Advanced Technologies in

EngineeringManagement and Sciences

My best wishes to the convener DrMNarayanan ME PhD and his team for the conduct of

this International Conference

DrRamalingam Jaganathan

Director(Research)

Golden Valley Integrated Campus

Madanapalle

Dr Venkataramanaiah MCom (Gold medal)MBA (FinampHRM) UGC NET (ComampMgnt) MPhil PhD

DEANGolden Valley Institute of Management

It gives me a great pleasure to welcome all of you from different national frontiers of the

world to the 1st International Conference on Advanced Technologies in Engineering Management and

Sciences (ICATEMS 17) to be held at Golden Valley Integrated Campus (GVIC) Madanapalle

affiliated to JNTUA Anathapuram Andhra Pradesh on November 16th and 17th 2017 As a

researcher I do realize the importance of International Conferences and the kind to nurture the

budding minds that suits the institutional as well as national interests as a whole

I do believe that research and development activities are considered as spine for novel and

creative thinking to see the life of humankind in the better way Hence it is considered as the need of

the hour to engage more in research activities through academics coupled with industry I am certain

that the present international conference will be a platform to both the academicians and entrepreneurs

in the echelon of engineering management and basic sciences to cope up with the present

requirements of the business world Further I am to state that the delegates will be enlightened with

good amount of interaction in the field of their study in and out I am confident that the conference

will produce deep insights within the scope of the conference and it helps the Government of Andhra

Pradesh n particular and the Nation in general in policy making in the years to come

I take this opportunity to extend the warm welcome to the Invitees delegates resource

persons and student fraternity for their active participation in this mega event

My heartfelt thanks are due with Shri NVRamana Reddy Patron ICATEMS 17 Secretary

and Correspondent GVIC for his continues supporting to reach out the predefined objectives at

institutional level Least but not last my best wishes to Dr M Narayanan ME PhDConvener

ICATEMS 17 and his team for having conduct of International Conference in a grand scale

Dr Venkataramanaiah M

DEAN

Golden Valley Institute of

Management Madanapalle

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 4: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

Prof KPrahlada Rao

Member of EC

Jawaharlal Nehru Technological University Anantapur

PRINCIPAL

JNTU College of EngineeringAnanthapuramu

Its my immense pleasure to associate with the ICATEMS17 I wish it provides vibrant

environment to all the participants and brings out the best of the delegates and also unleashes most

memorable moments in Madanapalle academic ambience

All the very best

DrRamalingam JaganathanMSPhD(IIT-Madras)MBA GDMM

Director(Research)Golden Valley Integrated Campus

I am indeed privileged and delighted to note that the 1st International Conference on

Advanced Technologies in Engineering Management and Sciences which is scheduled on

November 16thamp 17th 2017 is organized by the Golden Valley Integrated Campus (GVIC)

Madanapalli affiliated to JNTU Ananthapur Andhra Pradesh India

It is high time to create and nurture research activities among the budding citizensI am sure

that theConference of such nature provide a great opportunity to engineering science and

managementfraternities not only to update knowledge and keep obsessed with the latest scenario

across the world in theirrespective fields I am sure that the delegates will be able to have a good

interaction with exchange ofthoughts and experienceI am confident that the outcome of this

conference will result in betterment to the overall growth of our state Andhra Pradesh as well as our

Nation

I take this opportunity to extend the warm welcome to all the resource persons and

delegatesregistered for this 1st International Conference on Advanced Technologies in

EngineeringManagement and Sciences

My best wishes to the convener DrMNarayanan ME PhD and his team for the conduct of

this International Conference

DrRamalingam Jaganathan

Director(Research)

Golden Valley Integrated Campus

Madanapalle

Dr Venkataramanaiah MCom (Gold medal)MBA (FinampHRM) UGC NET (ComampMgnt) MPhil PhD

DEANGolden Valley Institute of Management

It gives me a great pleasure to welcome all of you from different national frontiers of the

world to the 1st International Conference on Advanced Technologies in Engineering Management and

Sciences (ICATEMS 17) to be held at Golden Valley Integrated Campus (GVIC) Madanapalle

affiliated to JNTUA Anathapuram Andhra Pradesh on November 16th and 17th 2017 As a

researcher I do realize the importance of International Conferences and the kind to nurture the

budding minds that suits the institutional as well as national interests as a whole

I do believe that research and development activities are considered as spine for novel and

creative thinking to see the life of humankind in the better way Hence it is considered as the need of

the hour to engage more in research activities through academics coupled with industry I am certain

that the present international conference will be a platform to both the academicians and entrepreneurs

in the echelon of engineering management and basic sciences to cope up with the present

requirements of the business world Further I am to state that the delegates will be enlightened with

good amount of interaction in the field of their study in and out I am confident that the conference

will produce deep insights within the scope of the conference and it helps the Government of Andhra

Pradesh n particular and the Nation in general in policy making in the years to come

I take this opportunity to extend the warm welcome to the Invitees delegates resource

persons and student fraternity for their active participation in this mega event

My heartfelt thanks are due with Shri NVRamana Reddy Patron ICATEMS 17 Secretary

and Correspondent GVIC for his continues supporting to reach out the predefined objectives at

institutional level Least but not last my best wishes to Dr M Narayanan ME PhDConvener

ICATEMS 17 and his team for having conduct of International Conference in a grand scale

Dr Venkataramanaiah M

DEAN

Golden Valley Institute of

Management Madanapalle

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 5: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

DrRamalingam JaganathanMSPhD(IIT-Madras)MBA GDMM

Director(Research)Golden Valley Integrated Campus

I am indeed privileged and delighted to note that the 1st International Conference on

Advanced Technologies in Engineering Management and Sciences which is scheduled on

November 16thamp 17th 2017 is organized by the Golden Valley Integrated Campus (GVIC)

Madanapalli affiliated to JNTU Ananthapur Andhra Pradesh India

It is high time to create and nurture research activities among the budding citizensI am sure

that theConference of such nature provide a great opportunity to engineering science and

managementfraternities not only to update knowledge and keep obsessed with the latest scenario

across the world in theirrespective fields I am sure that the delegates will be able to have a good

interaction with exchange ofthoughts and experienceI am confident that the outcome of this

conference will result in betterment to the overall growth of our state Andhra Pradesh as well as our

Nation

I take this opportunity to extend the warm welcome to all the resource persons and

delegatesregistered for this 1st International Conference on Advanced Technologies in

EngineeringManagement and Sciences

My best wishes to the convener DrMNarayanan ME PhD and his team for the conduct of

this International Conference

DrRamalingam Jaganathan

Director(Research)

Golden Valley Integrated Campus

Madanapalle

Dr Venkataramanaiah MCom (Gold medal)MBA (FinampHRM) UGC NET (ComampMgnt) MPhil PhD

DEANGolden Valley Institute of Management

It gives me a great pleasure to welcome all of you from different national frontiers of the

world to the 1st International Conference on Advanced Technologies in Engineering Management and

Sciences (ICATEMS 17) to be held at Golden Valley Integrated Campus (GVIC) Madanapalle

affiliated to JNTUA Anathapuram Andhra Pradesh on November 16th and 17th 2017 As a

researcher I do realize the importance of International Conferences and the kind to nurture the

budding minds that suits the institutional as well as national interests as a whole

I do believe that research and development activities are considered as spine for novel and

creative thinking to see the life of humankind in the better way Hence it is considered as the need of

the hour to engage more in research activities through academics coupled with industry I am certain

that the present international conference will be a platform to both the academicians and entrepreneurs

in the echelon of engineering management and basic sciences to cope up with the present

requirements of the business world Further I am to state that the delegates will be enlightened with

good amount of interaction in the field of their study in and out I am confident that the conference

will produce deep insights within the scope of the conference and it helps the Government of Andhra

Pradesh n particular and the Nation in general in policy making in the years to come

I take this opportunity to extend the warm welcome to the Invitees delegates resource

persons and student fraternity for their active participation in this mega event

My heartfelt thanks are due with Shri NVRamana Reddy Patron ICATEMS 17 Secretary

and Correspondent GVIC for his continues supporting to reach out the predefined objectives at

institutional level Least but not last my best wishes to Dr M Narayanan ME PhDConvener

ICATEMS 17 and his team for having conduct of International Conference in a grand scale

Dr Venkataramanaiah M

DEAN

Golden Valley Institute of

Management Madanapalle

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 6: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

Dr Venkataramanaiah MCom (Gold medal)MBA (FinampHRM) UGC NET (ComampMgnt) MPhil PhD

DEANGolden Valley Institute of Management

It gives me a great pleasure to welcome all of you from different national frontiers of the

world to the 1st International Conference on Advanced Technologies in Engineering Management and

Sciences (ICATEMS 17) to be held at Golden Valley Integrated Campus (GVIC) Madanapalle

affiliated to JNTUA Anathapuram Andhra Pradesh on November 16th and 17th 2017 As a

researcher I do realize the importance of International Conferences and the kind to nurture the

budding minds that suits the institutional as well as national interests as a whole

I do believe that research and development activities are considered as spine for novel and

creative thinking to see the life of humankind in the better way Hence it is considered as the need of

the hour to engage more in research activities through academics coupled with industry I am certain

that the present international conference will be a platform to both the academicians and entrepreneurs

in the echelon of engineering management and basic sciences to cope up with the present

requirements of the business world Further I am to state that the delegates will be enlightened with

good amount of interaction in the field of their study in and out I am confident that the conference

will produce deep insights within the scope of the conference and it helps the Government of Andhra

Pradesh n particular and the Nation in general in policy making in the years to come

I take this opportunity to extend the warm welcome to the Invitees delegates resource

persons and student fraternity for their active participation in this mega event

My heartfelt thanks are due with Shri NVRamana Reddy Patron ICATEMS 17 Secretary

and Correspondent GVIC for his continues supporting to reach out the predefined objectives at

institutional level Least but not last my best wishes to Dr M Narayanan ME PhDConvener

ICATEMS 17 and his team for having conduct of International Conference in a grand scale

Dr Venkataramanaiah M

DEAN

Golden Valley Institute of

Management Madanapalle

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

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17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

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18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

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19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

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20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

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21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

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22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

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23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
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Page 7: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

Advisory Panel

Prof Mitsuji Yamashita

Dept of Nano Materials Graduate School of Science amp Technology Shizuoka University

DrKuk Ro Yoon

Assistant Professor Department of Chemistry Hannam University Taejeon South Korea

Prof David Adams

Logica Solutions Miltons Keyes UK

Prof Neil Westerby

Conniburrow UK

Prof Mick Micklewright

Ingersoll Rand Wasall UK

Prof Petra Mattox

Aeci(UK) Ltd Cannock Germany

Dr P Ezhumalai

Professor amp Head Dept of CSE RMD College of Engineering Kavaraipettai ChennaiTamil Nadu

Dr C Arun

Professor Dept of ECE RMK College of Engineering and Technology PuduvoyalTiruvallur Tamil Nadu

Dr P Sujatha

professor Dept of EEE JNTUA Ananthapuramu Andhra Pradesh

DrM H Kori

Rtd Director Alcatel lucent Technology and IEEE ExPresident Bangalore Karnataka

Dr JitendranathMungara

Dean amp Professor Dept of CSE New Horizon College of Engineering BangaloreKarnataka

DrT Narayana Reddy

Head Department of MBA JNTUA Ananthapuramu Andhra Pradesh

Dr BAbdul Rahim

Professor Dean Professional Bodies Annamacharya Institute of Technology and ScienceRajampet Andhra Pradesh

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

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24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

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26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

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28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 8: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

Dr S PChokkalingam

Professor amp Head Dept of IT Saveetha School of Engineering Saveetha UniversityChennai TamilNadu

Dr S BasavarajPatil

CEO amp Chief Data Scientist Predictive Research Pvt Ltd Bangalore

Dr SAnusuya

Professor Department of CSEampIT Saveetha School of Engineering (SSE) SaveethaUniversity Saveetha Nagar Thandalam Chennai Tamil Nadu

Dr BGangaiah

Associate Professor Department of MBA Yogi Vemana University Kadapa AndraPradesh

Dr GRoselineNesaKumari

Dept of CSE Saveetha School of Engineering Saveetha University Chennai Tamil Nadu

Prof C Sureshreddy

Dept of Chemistry Sri Venkateswara University Tirupathi Andhra Pradesh

Dr Y Subbarayudu

Associate Professor Department of MBA Yogi Vemana University Kadapa AndhraPradesh

Dr MPChockalingam

Professor Dept of Civil Engineering Bharath University Chennai Tamil Nadu

Dr TLalith Kumar

Professor Dept of ECE Annamacharya Institute of Technology and Science KadapaAndhra Pradesh

Dr G Jayakrishna

Professor amp Head Dept of EEE Narayana Engineering College Nellore Andhra Pradesh

Dr BharathiNGopalsamy

Associate professor Dept of CSE Saveetha School of Engineering Saveetha University

Chennai Tamil Nadu

Dr SMagesh

Professor Dept of CSE Saveetha School of Engineering Saveetha University ChennaiTamil Nadu

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 9: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

DrAKumar

Professor amp Head Department of Chemical Engineering Sriram Engineering CollegeTiruvallur District Chennai Tamil Nadu

DrMThamarai

Professor Department of ECE Malla Reddy College Engineering MaisammagudaDulapally road Hyderabad Telangana

DrSyed Mustafa

Professor amp Head Department of Information Science amp Engineering HKBK College ofEngineering

Off Manyata Tech Park Bangaluru

DrK E Sreenivasa Murthy

Professor amp Head Department of Electronics and Communication Engineering GPullaiahCollege of Engineering and Technology Kurnool

DrLokanandha Reddy Irala

Associate Professor Dept of Management Studies Central University of HyderabadTelangana

DrAbyKThomasPhD

Professor amp Head Department of Electronics and Communication Engineering

Hindustan institute of technology ampscience Chennai Tamil Nadu

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

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17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

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18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

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19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

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20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

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21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

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22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

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23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 10: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

PRAYER

I pray yoursquoll be our eyes

And watch as where we go

And help us to be wise

In times when we donrsquot know

Let this be our prayer

As we go our way

Lead us to a place

Guide us with your grace

To a place where wersquoll be safe

Give us faith so wersquoll be safe

We dream of world with no more violence

A world of justice and hope

Grasp your neighborrsquos hand

As a symbol of peace and brotherhood

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

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17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 11: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

SlNo Paper ID Title of the Paper Authors Name Page No

1 ICATEMS_BS_020Glycoside-Tethered Gd(III)-DPTA

for an MRI BloodpoolcontrastAgentIn vitro andIn vivoStudies

Uma Ravi SankarArigala Sharak SaSubhasini BaiMa

Kuk Ro YoonbChulhyun Lee

1

3 ICATEMS_BS_025 On Intuitionistic Preopen SetsG Sasikala

MNavaneethakrishnan

6

4 ICATEMS_BS_026A study on ultrasonic parameters andJO parameter in Nd3+ L- Tryptophan

amino acid complexes

Jagadeesh KumarPR1 ThasleemS

2 MKiranKumar

13

5 ICATEMS_BS_049Spectral Studies of Eu3+ Zno -

B2O3 - PbO - Cao - Al2O3 glassesS Guru PrasadMKiran Kumar

17

6 ICATEMS_BS_050 Etiquette-opendoors to sucessDr C Raghavendra

reddy18

7 ICATEMS_BS_117

Evolution of quantum efficiency ofDy3+ and Sm3+ doped lithium sodiumbismuth borate (LSBB) glasses for

photonic devices applications

M ParandamaiahB Jaya Prakash S

VenkatramanaReddy

19

8 ICATEMS_BS_128Casson nanofluid flow over a

Stretching Cylinder with Cattaneo-Christov Heat Flux model

DrAHaritha 20

9 ICATEMS_BS_136Insilico Analysis of a Rice SR relatedprotein SRCTD-6 reveals a splicing

function

SimmannaNakkaUdayBhaskarSajja

32

10 ICATEMS_BS_137γ-Alumina Nanoparticle Catalyzed

Efficient Synthesis of Highly

Bandapalli PalakshiReddy12

VijayaparthasarathiVijayakumar2

37

11 ICATEMS_BS_138Molecular docking and interaction

studies of kojic acid derivatives

M Ravikishore DSumalatha G

Rambabu and YB Kiran

38

12 ICATEMS_BS_139Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G

Rambabu39

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

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24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

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26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 12: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

13 ICATEMS_BS_140EFFECT OF TEMPERATURE ONOPTICAL BAND GAP OF TiO2

NANOPARTICLES

Naresh KumarReddy P1

Dadamiah PMDShaik1 Ganesh V2Thyagarajan K3 and

Vishnu PrasanthP1

40

14 ICATEMS_BS_150Judd-Ofelt analysis and Luminence

features of Nd3+ dopedfluorophosphate glasses

M V Sasi kumar1S Babu2Y CRatnakaram2

41

15 ICATEMS_BS_151

SPECTROCOPIC STUDIES ONMULTI-COLOR EMITTING

Tm3+Tb3+ IONS DOPEDTELLURITE GLASSES

T SASIKALA1 42

16 ICATEMS_BS_152

INVESTIGATIONS ONSTRUCTURAL AND ELECTRICAL

PROPERTIES OF SPUTTEREDMOLYBDENUM OXIDE FILMS

FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES

AT DIFFERENTCONCENTRATIONS

V Nirupamaab SUthanna and PSreedhara Redy

43

17 ICATEMS_BS_153Preparation and Characterization of

chemical bath deposited CdS

DNagamalleswari1Y Jayasree2 and

YB KishoreKumar1

44

18 ICATEMS_BS_154Signed Edge Domination on Rooted

Product GraphSHOBHA RANI 45

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 13: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

1ISBN 978-93-86770-41-7

Glycoside-Tethered Gd(III)-DPTA for an MRIBloodpoolcontrastAgent

In vitro andIn vivoStudies

Uma Ravi Sankar ArigalaaSharak S a Subhasini BaiM a Kuk Ro Yoonb Chulhyun Leeb

aDepartment of Chemistry Golden Valley Integrated CampusNH-205 Kadiri Road Angallu Madanapalle517-325 Ap India

bDivision of MagneticResonanceResearch Korea Basic Science Institute 804-1 Cheongwon Chungbuk363-883 Korea

ABSTRACT We report the synthesis of DTPA derivatives oftris(2-aminoethyl)amine(1) and their Gd complexes of thetype[Gd(1)(H2O)]middotxH2O (1) for use as new MRIbloodpoolcontrast agents (BPCAs) that provide strong andprolonged vascularenhancement a DTPA-based MRI CAcurrently in use The R1relaxivity in water reaches 200 mMminus1

sminus1 which is approximately five times as high as that of Gd-DTPA (MagnevistregDTPA diethylenetriaminepentaaceticacid) is the most commonly used MRI contrast agent (R1 = 40mMminus1 sminus1) The in vivo MR images of mice obtained with 1 arecoherent showing strong signal enhancement in both liver andKidneys

KEYWORDS Glycoside Gd complex Bio-distribution MRIBPCAs

Magnetic resonance imaging (MRI) is a powerfulnoninvasive and widely-applied diagnostic techniquewhich allows for imaging the inside of the humanbody12More than one-third of the MRI scans are currentlyperformed withthe administration of a contrast agentusually a gadolinium complex34 The first-generationcontrast agents were distributed to the intravascular andinterstitial sites immediately after injection and they werecalled ldquonon-specificrdquo agentsHowever the medical need fortissue-specific contrast agents has driven researchers todesign and synthesize the second-generation contrast agents

that can selectively visualize the organs of interest such asthe liver or the cardiovascular system5The most frequentlyused contrast agents are stable gadolinium(III) complexeswith hydrophilic ligands which undergo rapid extracellulardistribution and renal elimination Due to the favorableparamagnetic properties gadolinium(III) ion increases therelaxation rate of the surrounding water-protons making theregion of interest brighter than the background Gd-complexes with amphiphilic properties also have beenprepared and evaluated as blood-pool and liver imagingagents6 Among the Gd-based compounds Gd-DTPA is themost commonly used MRI contrast agent Howeveritsblood vessel-penetrating character often makesthe windowof magnetic resonance angiography narrowand thereforedouble or triple dose is sometimes required To optimize theproperties ofGd-DTPA the chemical modifications of Gd-DTPA have been attempted by introducing some functionalresidues to the outer face of the molecule78In this work wedesigned a new Gd-DTPA derivative to which theglycoside groups were tethered (Figure 1) We anticipatedthat the Gd complex synthesized would be site-specific inaddition to the good solubility in water because theglycoside groups have a specific target and combine withasialoglycoprotein receptor (ASGPR) on the surface ofhepatocyte

Chart 1

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 14: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

2ISBN 978-93-86770-41-7

The ligand DTPA-Tris-2-AEA-D2-4Glc(OH) wassynthesized by two-step reactions reaction of tris(2-aminoethyl)amine(A) with D-(+)-glucono-15-lactone(a)andcoupling of the resulting aminoglycoside branch (B) andDTPA dianhydride(2)9(Figure 1) The ligand DTPA-Tris-2-AEA-D2-4Glc(OH)(3) was subsequently reactedwithGdCl3middot6H2O leading to the formation of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1)The ligand was composed ofDTPAand four glucose units whichwas thought toimmobilize the gadolinium ion at the focal points by eightcoordination sites allowing one water molecule tocoordinate with and encapsulate the metal ion inside theglycoside clusters Along with the glycoside clustereffect10the carbohydrate aggregation may offer a potentialadvantage for site-specific delivery of the contrast agents ata molecular level since carbohydrates play significant rolesin recognition processes on cell surfaces10-12

The longitudinal (r1) and transverse relaxivities (r2)of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)were firstdetermined with Gd-DTPA as a comparison by theconcentration-dependent measurements of therelaxationtimes in water at pH 65-7 at 47 T (Figure 2) The T1 and T2

values were determinedfrom a set of the images acquiredwith a single-slice 2D mixed MRI protocol consisting ofdual-echospin echo sequence interleaved with a dual-echoinversion recovery sequence13 This sequence wassuitablefor the accurate measurement of relaxation times in therange of 100-2000 ms Figure 2showed good linear fits (R2gt0999) to the equation (1T12)observed = (1T12)diamagnetic

+r12[Gd(III)] The standard deviation in the relaxivitiesfrom the fitting procedure did not exceed 2The Gd(III)concentrations used for the relaxivity measurements were

determined by inductively coupled plasma atomic emissionspectroscopy (ICP-AES)The detection limit for Gd(III) wastypically at the 80 μgL level and analytical errors werecommonly inthe range of 05-2The value for the observedGd(III) content for Gd-DTPA wasvery close to thetheoretical value typically between 90 and 100 while theGd(III) content in Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)was 68 of the theoretical value Therefore we normalizedthe relaxivities which were shown in Table1 For a faircomparison of the relaxivities of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) the identical conditions were used duringdata acquisition

Table 1Comparison of r1relaxivity47 T at RTGd complexes r1 [s-1mM-1] r2 [s-1mM-1]

in H2O in H2O

Gd-DTPA 39 40

1 195 200

The r1 and r2 values of Gd-DTPA were measuredto be 39mMndash1sndash1 and 40mMndash1sndash1 respectively which wasin a fullagreement with the previously reported values in theliterature14 In contrast Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) (1) displayed the r1 and r2 values in the range of195-200mMndash1sndash1 and 200mMndash1sndash1 respectivelyTheserelaxivitieswere significantly higher than the r1 and r2

values of the parent Gd-DTPAcomplex presumably due tothe slower molecular tumbling of the Gd(III) complexcaused by thehigher molecular weight (090 kgmolndash1 for (1)vs059kgmolndash1 for Gd-DTPA) Ther2r1ratio ofthe Gd-DTPA derivative (1)ranged between 11-12 the values

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 15: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

3ISBN 978-93-86770-41-7

was also reported forthe lowmolecular weight Gd-DTPA-based complexes14

Figure 1The longitudinal and transverse relaxation rate(1T1and 1T2) versus the concentration ofGd(III) at 47 Tand RT Reference Gd(III) sugar complex 1 (squares)

We obtained the MR image of amouse with anMRI machine at 47 T to get the information on the bio-distributions inside of the body The concentration of theMRI contrast agent was adjusted with the normal salinesolution to be 01 mmolkg Figure3 shows the MR imagesfor Gd-DTPA and Gd-DTPA-Tris-2-AEA-D2-4Glc(OH)(1) The Gd complexes were injected intravenously into themouse and the kidney was excised before and 6 min 12min 30 min and 48 min after injection We found that thecompound (1)displayed a good selectivity to kidney Thegadolinium concentration of Gd-DTPA in the muscle wasthe same level as that of the Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) However the values of Gd-DTPA in the kidneywere much lower than those of Gd-DTPA-Tris-2-AEA-D2-4Glc(OH) The high gadolinium concentration in kidneyindicated that the compound (1) had a better selectivity tothe organs than Gd-DTPA

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

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26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

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28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
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Page 16: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

4ISBN 978-93-86770-41-7

Pre

48 min130 min112 min1Post

6 min

1

Liver

Kidney

48 min230 min212 min2Post

6 min

2

Liver

Kidney

Pre

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

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34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 17: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

5ISBN 978-93-86770-41-7

Figure 2 (a)Mouses MRI when Gd-DTPA (01 mmolkg)was administered The time in min indicates the time afterthe administration of the contrast agent The time (Pre 6min 12 min 30 min and 48min) passes from left to right(b) Mouses MRI (Pre 6 min 12 min 30 min and 48min))when -DTPA-Tris-2-AEA-D2-4Glc(OH)(01mmolkg) wasadminister

In conclusion we have put into a new entry of Gd complex(1) as novel MRI BPCAs One of the most characteristicfeatures of 1 is that they not only reveal great signalenhancement in R1 relaxivity in water but also exhibit acertain degree of interaction with HSA solutions with adramatic increase in kinetic stability as wellAUTHOR INFORMATIONCorresponding AuthorUma Ravi Sankar Arigala Tel +91-7893921004 EmaildrravigvichotmailcomFundingThis work was supported by National Research Foundationof Korea Grant funded by the Korean Government (2011-0087005) and HannamUniversity research fund (2013) isalso gratefully acknowledgedACKNOWLEDGEMENTSWe thankKorean Basic Science Institute forproviding biodistribution experiment dataREFERENCES

(1) Rinck PA Magnetic Resonance in MedicineBlack well Scientific Publications Oxford UK 1993

(2) Lauffer RB Paramagnetic metal complexes aswater proton relaxation agents for NMR imagingtheory and designChem Rev198787 901-927

(3) Merbach A Toth EE The Chemistry of ContrastAgents in Medicinal Magnetic Resonance ImagingJohn Willy Chichester UK 2001

(4) Caravan P Ellison J J McMurry TJ LaufferR B Gadolinium(III) Chelates as MRI ContrastAgents Structure Dynamics andApplicationsChem Rev 199999 2293-2352

(5) Weinmann H-J Ebert W Misselwitz B Schmitt-Willich H Tissue-specific MR contrast

agentsEur J Radiol 200346 33-44(6) Kabalka G W Davis M A Moss T H Buonocore

E Hubner K Holmberg E Maruyama K Haung LGadolinium-labeled liposomes containing variousamphiphilicGd-DTPA derivativesTargeted MRIcontrast enhancement agents for the liverMagnReson Med 199119 406-415

(7) Uma Ravi Sankar A Yamashita M Aoki T TanakaY Kimura M Toda M Fujie M Takehara YTakahara H Synthesis and in-vitro studies of Gd-DTPA-derivatives as a new potential MRI contrastagents TetrahydronLett 201051 2431ndash2433

(8) Takahashi M Hara YAoshima K Kurihara HOshikawa T Yamasitha M Utilization of dendriticframework as a multivalent ligand a functionalizedgadolinium(III) carrier with glycoside clusterperipheryTetrahedron Lett2000418485-8488

(9) Blish S W A Chowdhury A H M S Mcpartlin MScowen T J BulmanRA Neutralgadolinium(III)complexes of bulky octadentatedtpaderivatives as potential contrast agents for magneticresonance imagingPolyhedron199514 567-569

(10) Konings M S Dow W C Love D W Raymond KN Quay S C Rocklage S M Gadoliniumcomplexation by a new diethylenetriaminepentaaceticacid-amide ligand Amide oxygen coordination InorgChem1990 291488-1491

(11) Lee Y C Lee R T Carbohydrate-ProteinInteractions Basis of Glycobiology Acc Chem Res199528 321-327

(12) Zanini D Roy R Synthesis of New α-Thiosialodendrimers and Their Binding Properties tothe Sialic Acid Specific Lectin from Limaxflavus JAm Chem Soc 1997119 2088-2095

(13) In den Kleef J J ECuppen J J MT1 T2 and pcalculations combining ratios and least squaresMagnReson Med19875 513-524

(14) Reichenbach J RHacklander T Harth T Hofer MRassek M Modder U 1H T1 and T2 measurementsof the MR imaging contrast agents Gd-DTPA andGdDTPA BMA at 15T Eur Radiol1997 7 264-274

(15) Barge A Cravotto GGianolio E Fedeli F How todetermine free Gd and free ligand in solution of Gdchelates A technical note Contrast Med MolImaging 2006 1 184-188

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17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

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19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

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20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 18: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

17ISBN 978-93-86770-41-7

Spectral Studies of Eu3+Zno - B2O3 - PbO - Cao -Al2O3 glasses

S Guru Prasad and MKiran Kumar 1

1BT college Madanapalle-517325 AP Indiakiransunil267gmailcom

Abstract

The effect of Eu3+ ion concentration on the physical and spectroscopic properties of leadndashcalciumndashaluminum-borate glass systems have

been studied for the compositions From the room temperature absorption spectra various spectroscopic parameters have been

calculated The 5D07F2 exhibits high branching ratios (βR) values for all glasses reflecting their potential lasing application in the

development of red laser and optical devices Theσe for 5D07F2 and 5D0

7F4 transitions are reported The observed 5D07F0 in the

emission spectra confirms low symmetry around Eu3+ ion for all glass compositionsThe Judd-Ofelt intensity parameters Ω λ ( λ = 246)have been evaluated and used to obtain the radiative transition probabilities (AR) radiative life-times (τR) branching ratios (βR) and

absorption cross-sections (σa) Stimulated emission cross-sections (σe) for the lasing transitionswere evaluated from fluorescence spectra

Optical band gap values were estimated

Key words Europium HMO glasses Optical materials Photoluminescence

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
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Page 19: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

18ISBN 978-93-86770-41-7

ETIQUETTE- OPEN DOORS TO SUCCESSDrCRaghavendraReddy

Assistant professor of EnglishSreeVidyanikethan Engineering College Tirupathi

Gmail- raghavendrareddy4323gmailcom

ABSTRACT This paper is an attempt to the importance of etiquette in the achievement of success in our career Etiquette is forms

manners and ceremonies required in a profession personal family home schools colleges social relations cultural and official life

Etiquette in simpler words is defined as good behavior which distinguishes human beings from animals It is about presenting yourself

in a polished way practicing good manners knowing how to behave in a given situation knowing how to interact with people

Prospective and future employers expect it Proper etiquette helps you make a great first impression and stand out in a competitive job

market It is a fancy word for simple kindness and without this we limit our potential risk our image and jeopardize relationships

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
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Page 20: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

19ISBN 978-93-86770-41-7

Evolution of quantum efficiency of Dy3+ and Sm3+

doped lithium sodium bismuth borate (LSBB) glassesforphotonic devices applicationsMParandamaiahB Jaya Prakash amp$S Venkatramana ReddyDepartment of Physics BT College Madanapalli-517325 AP INDIA$Department of Physics SV University Tirupati-517502 AP INDIA

E mail parandam2013gmailcom-------------------------------------------------------------------------------------------------------------------------------------

Abstract

Low phonon energy glasses are gained more importance at present days for developing various efficient optical devices

applications The low phonon energy glasses provide better quantumefficiency to some RE ions particular optical transitionsIn the

present work Dy3+ and Sm3+aredoped with different concentrations with lithium sodium bismuth

borate60B2O3+20LiF+10NaF+10Bi2O3have been prepared by using melt quenching technique to compare its luminescence quantum

efficiency For systematic analysis of these glass matrices amorphous nature of the glass matrix has been confirmed from the XRD and

morphological and elemental analysis by SEM and EDAX Compositional complex formation and ion-glass interactions from FTIR

analysis For these two glass matrices optical absorption studies have been systematically elucidated FromPhotoluminescence spectra

of Dy3+ doped (LSBB) glasses are promising materials for yellow luminescence and Sm3+ doped (LSBB) glassesare promising materials

for orange luminescenceQuantumefficiency are evaluated for these glass matrices and made a comparison between for identifying them

in various devices applications

Key words Low phonon energy luminescence quantum efficiency

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
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Page 21: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

20ISBN 978-93-86770-41-7

Cassonnanofluid flow over a Stretching Cylinder

with Cattaneo-Christov Heat Flux modelVNagendramma1AHaritha2

1Research Scholar Dept of Applied Mathematics SPMVV Tirupati2Assistant professor School of Engineering and Technology SPMVV Tirupati

2Corresponding Author E-mail arigalaharithagmailcom

Abstract The present article deals with the steady

incompressible Cassonnanofluid flow over a stretching

cylinder in the presence of thermophoresis and Brownian

motion with prescribed heat flux Instead of Fourierrsquos law

Cattaneo-Christove heat flux theory is used to derive the

energy equation This theory can predict the characteristics of

thermal relaxation time The governing partial differential

equations are transformed into a system of ordinary

differential equations by employing suitable similarity

solutions and solved numerically by using Runge-Kutta fourth

order method with shooting technique The aim of the present

study is to analyze the influence of various parameters viz

Casson parameter curvature parameter thermal relaxation

parameter Prandtl number Brownian motion parameter and

thermophoresis parameter on the velocity profile temperature

and concentration profiles

Key words Cassonnanofluid Cattaneo-Christov Heat Flux

model and prescribed heat flux

INTRODUCTON

Heat transfer takes place when there is temperature

difference between the two neighbouringobjects It has

numerous applications in residential industrial and

engineering such as power production aircoolers nuclear

reactor cooling heat and conduction in tissues etc

Fourier[1] proposed the famous law of heat conduction

which is basis to know the behavior of heat transfer in

different practical conditions One of the major limitation of

this model is it yields energy equation in parabolic form

which shows the whole substance is instantly affected by

initial disturbance To overcome this limitation Cattaneo[2]

upgraded Fourierrsquos law from parabolic to hyperbolic partial

differential equation by adding thermal relaxation time

which allows the transfer of heat through propagation of

thermal waves with finite speed Later Christov[3] modified

Cattaneo model by considering Oldroydrsquos upper convicted

derivative to achieve the material invariant formulation

Straughan[4] applied Cattaneo ndash Christov model with

thermal convection in horizontal layer of incompressible

flow Tibullo and zampoli[5] studied the uniqueness of

Cattaneo ndash Christov model for incompressible flow of

fluids Han etal [6] investigated the heat transfer of

viscoelastic fluid over stretching sheet by using Cattaneo ndash

Christov model Mustafa [7] analyzed the rotating flow of

Maxwell fluid over linearly stretching sheet with

consideration of Cattaneo ndash Christov heat flux

The study of non ndash Newtonian fluids is most

important in the areas of science and engineering To

characterize the flow and heat transfer several rheological

models have been proposed Among these Casson fluid is

one of the non ndash Newtonian fluids which fits rheological

data better than other models for many materials as it

behaves like an elastic solid and which exhibits yield stress

in the constitutive equation The examples of casson fluid

are jelly tomato sauce human blood honey etc Many

authors worked on this Casson fluid by considering over

different geometries [8-10] Fredrickson [11] analyzed the

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

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34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
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  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
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Page 22: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

21ISBN 978-93-86770-41-7

flow of a Casson fluid in a tube Eldabe and salwa [12]

analyzed the casson fluid for the flow between two rotating

cylinders Nadeem etal [13] elaborated MHD three

dimensional Casson fluid flow past a porous linearly

stretching sheet The effect of thermal radiation and viscous

dissipation on MHD free convection towards a boundary

layer flow of a Casson fluid over a horizontal circular

cylinder in non-darcy porous medium in the presence of

partial slip conditions was studied by Makanda et al [14]

Now a days a continuous research is going on in

the flow analysis of nanofluids as it has many applications

in heat transfer such as heat exchangers radiators hybrid ndash

powered engines solar collectors etc In nanofluids the

commonly used nanoparticles are made of metals carbides

oxides etc and base fluids includes water ethylene glycol

and oil Nanofluids exhibit enhanced thermal conductivity

and convective heat transfer coefficient when compared to

the base fluid The investigations related to the rheology of

nanofluids International Nanofluid Property Benchmark

Exercise (INPBE) revealed that nanofluid has both

Newtonian and non ndash Newtonian behavior Choi [15] was

the first person who worked on this nanotechnology

Eastman observed enhancement of thermal conductivity in

nanofluids Malik etal [16] studied the boundary layer flow

of Cassonnanofluid over a vertical exponentially stretching

cylinder The study of heat and mass transfer over an

exponentally stretching cylinder has many applications in

piping and casting systems fiber technology etc Wang [17]

studied the viscous flow and heat transfer over a stretching

cylinder Recently Majeed etal [18] investigated the effect

of partial slip and heat flux moving over a stretching

cylinder

The aim of the present paper is to study the heat

and mass transfer flow of Cassonnanofluiddueto stretching

cylinder with prescribed heat flux using Cattaceochristov

heat flux model The model equations of the flow are

solved numerically by using Runge-Kutta fourth order

method with shooting technique Effects of the various

parameters (such as Casson parameter curvature parameter

Thermal relaxation parameter Brownian motion parameter

thermophoresis parameter) on velocity temperature

concentration are discussed and illustrated through graphs

Mathematical Formulation

Consider a steady laminar axisymmetric boundary

layer flow of an incompressible Cassonnanofluid along a

stretching horizontal cylinder of radius lsquoarsquo where x-axis is

along the axis of cylinder and the radial co-coordinate r is

perpendicular to the axis of cylinder using Buongiorno

model It is assumed that the surface of the cylinder has the

linear velocity 0( )w

U xU x

l where 0U is the reference

velocity l is the characteristic length wT is the constant

temperature wC is the susceptibility of the concentration

Moreover it is assumed that the uniform magnetic field is

applied in the radial direction Thermophoresis and

Brownian motion are taken into account The rheological

equation of a Casson fluid can be defined as follows

= 2 + radic gt2 + lt(1)

where = is the component of stress tensor is

the Casson viscosity coefficient is the product of the

components of the deformation rate tensor with itself and

is the critical value of this product following the non-

Newtonian model and is the yield stress of the fluid

According Cattaneo-Christove model the heat flux (q) can

be expressed as+ + nabla minus nabla + (nabla ) = minus nabla (2)

where is thermal relaxation time k is the thermal

conductivity and V is the velocity vector If = 0 then

Eq (2) becomes classical Fourierrsquos law For steady

incompressible fluid flow Eq (2) reduces to+ ( nabla minus nabla ) = minus nabla (3)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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Page 23: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

22ISBN 978-93-86770-41-7

The governing equations of the flow can be written in the

following mathematical model( ) + ( ) = 0 (4)+ = 1 + + minus (5)+ + ( + + 2 + ++ + ) =( + ) + + (6)+ = + (7)

The corresponding boundary conditions are= ( ) + 1 + = 0 = minus ( ) =at = (8)rarr 0 rarr rarr as rarr infin (9)

where u and v are the components of velocity in x and r

directions respectively2B c

yP is the non-

Newtonian Casson parameter is the coefficient of

viscosity is the electrical conductivity is the Brownian

diffusion coefficient is thermophoresis diffusion

coefficient is the specific heat at constant pressure T is

the temperature of the fluid C is the local nano particle

volume fraction B is the uniform Magnetic field is the

fluid density is the velocity slip factor

p

f

c

c

is the ratio of the effective heat capacity

of the ordinary fluid

We introduce the following similarity transformations= = ( ) =+ ( ) ( ) = (10)

Using above non dimensional variables (10) equations (5) ndash

(9) are transformed into the following system of ordinary

differential equations1 + (1 + 2 ) + 2 + ( minus prime ) minus= 0 (11)

(1 + 2 minus ) + 2 minus Pr ( minus +( minus minus ) + (1 + 2 ) += 0 (12)(1 + 2 ) + 2 + (1 + 2 ) + 2 += 0 (13)

Subject to the boundary conditions(0) = 0 (0) = 1 + 1 + (0) (0) =minus1 (0) = 1 = 0 (14)= 0 = 0 = 0 = infin (15)

where = is a curvature parameter = is the

Magnetic parameter = is the thermal relaxation

parameter = is the Prandtl number = is the

Brownian motion parameter = ∆is the

thermophoresis parameter = is the Lewis number

= is the slip parameter

The expression for local Nusselt number and Sherwood

number in dimensionless form are defined as= minus (0) and = minus (0) (16)

Results and Discussions

In the present paper the characteristics of Cattaneo-

Christov heat flux model for Casson nanofluid past a

stretching cylinder is analyzed graphically for different

parameters on velocity temperature and concentration

profiles shown in figs (1-16) The present results are

compared with Majeed et al and remarkable agreement can

be seen in Table1

Table 1 Comparison table for (0) for different values ofPr with rarr infin= = = Le = 0

Pr (0)Majeed Present

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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Page 24: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

23ISBN 978-93-86770-41-7

et al [22] results

0 072

1

67

10

12367

10000

03333

02688

1231421

0999516

0333322

0268780

1 072

1

67

10

08701

07439

02966

02422

0807961

0717881

0298178

0245124

Fig 1 Velocity profile for different values of

Fig 2 Temperature profile for different values of

Fig 3 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f (

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 1 = 2 = 3 = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 25: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

24ISBN 978-93-86770-41-7

Fig 4 Velocity profile for different values of

Fig 5 Temperature profile for different values of

Fig 6 Concentration profile for different values of

Fig 7 Velocity profiles for different values of M

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f (

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 00 = 01 = 025 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

f

( )

M = 0 M = 01 M = 02 M = 03

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

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32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
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  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
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Page 26: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

25ISBN 978-93-86770-41-7

Fig 8 Temperature profiles for different values of M

Fig 9 Concentration profilefor different values of M

Fig 10 Temperature profile for different values of

Fig 11 Concentration profile for different values of

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

M = 0 M = 01 M = 02 M = 03

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

= 01 = 03 = 05 = 07

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
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  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
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Page 27: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

26ISBN 978-93-86770-41-7

Fig 12 Temperature profilefor different values of Pr

Fig 13 Concentration profilefor different values of Pr

Fig 14 Temperature profilefor different values of Nt

Fig 15 Concentration profilefor different values Nt

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Pr = 08 Pr = 12 Pr = 15 Pr = 19

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Pr = 1 Pr = 2 Pr = 3 Pr = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nt = 01 Nt = 02 Nt = 03 Nt = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
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  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
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  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
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  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
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Page 28: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

27ISBN 978-93-86770-41-7

Fig 16 Temperature profilefor different values of Nb

Fig 17 Concentration profilefor different values of Nb

Fig 18 Temperature profilefor different values of Le

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

Nb = 1 Nb = 2 Nb = 3 Nb = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

16

18

(

)

Le = 1 Le = 2 Le = 3 Le = 4

0 1 2 3 4 5 6 7 8 9 100

02

04

06

08

1

12

14

(

)

Le = 1 Le = 2 Le = 3 Le = 4

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
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  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
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  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
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Page 29: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

28ISBN 978-93-86770-41-7

Fig 19 Concentration profilefor different values of Le

Fig 20 Velocity profiles for different values of

Fig 21 Temperature profile for different values of

Fig 22 Concentration profile for different values of

Figs (1) ndash (3)illustrate the change of velocity temperature

and concentration for increasing values of Casson parameter

β A raise in β tends to decrease in yield stress of the

Casson fluid This serves to make the flow of the fluid

easily and hence the boundary layer thickness increases near

the cylindrical surface However for higher values of β the

fluid behaves like Newtonian fluid and further withdraws

from plastic flow The temperature and concentration

shows decreasing effect for increasing β The similar

manner is observed by Mustafa et al [21] He noticed that

an acceleration in velocity close to the surface and

decreasing effect in temperature throughout the boundary

layer region

Fig 4 demonstrates the variation of velocity with

curvature parameter γ It is observed that there is growth in

boundary layer thickness and velocity increases with the

increase of curvature parameter Fig5 illustrates the

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

f

( )

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

0 1 2 3 4 5 6 7 8 9 100

01

02

03

04

05

06

07

08

09

1

(

)

= 01 = 02 = 03 = 04

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
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  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
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  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
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Page 30: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

29ISBN 978-93-86770-41-7

influence of temperature with γ and it is noticed that with

the increase of curvature parameter the surface area of the

cylinder will squeeze hence lesser surface area gives low

heat transfer rate ie the temperature profile diminishes with

increase of curvature parameter γ In Fig6 the impact of

curvature parameter γ on the concentration profile is

sketched It is seen that the concentration decreases with

increase of γ

Fig (7) ndash (9) exhibits the velocity temperature and

concentration for various values of magnetic parameter It

is clear that the presence of magnetic field decreases the

velocity This is because the higher value of the Lorentz

force reduces the velocity and consequently the boundary

layer thickness diminishes However the effect of magnetic

parameter on temperature and concentration shows opposite

trend to the velocity

Effect of thermal relaxation parameter λ on

temperature distribution is shown in fig10 It is noticed that

the temperature profile decreases with increasing values of

thermal relaxation parameter λ For larger thermal relaxation

parameter particles of the material will takes more time to

transfer heat to its neighboring particles and hence reduces

the temperature In Fig 11 the effect of thermal relaxation

parameter λ on concentration is shown and it is observed

that the concentration increases with the increasing values

of thermal relaxation parameter λ

Effect of Prandtl number Pr on temperature and

concentration profiles are displayed in figs 12 and 13

Higher values of Prandtl number Pr reduce both temperature

and thermal boundary layer thickness Since Prandtl number

is inversely proportional to thermal diffusivity higher

prandtl number corresponds to lower thermal diffusivity

which reduces the temperature profile It is also observed

that the concentration profile decreases with increasing

values of Prandtl number Pr

Fig 14 and Fig15 exhibts the temperature and

concentration distributions for different values of

thermophoresis parameter Nt Increasing values of

thermophoresis parameter Nt tends to an increase in

temperature and concentration profiles In this case solutal

boundary layer thickness decreases with increase in

thermophoresis parameter Nt Fig16 is drawn the influence

of Brownian motion parameter Nb on temperature It is seen

that the increase of thermal conductivity of a nanofluid is

owing to Nb which facilitates micromixing so we can say

that the temperature is an increasing function of Brownian

parameter Nb therefore the temperature increases with the

increase of Nb Fig17 depicts that the concentration profile

decreases with the increasing values of Brownian parameter

Nb

From Fig18 it is observed that the temperature

increases with the increasing values of Lewis number Le

whereas Fig19 shows that for larger values of Lewis

number Le the concentration decreases and there will be

reduction in the concentration boundary layer thickness

Figs (20) ndash (22) show the effect of velocity slip

parameter on velocity temperature and concentration

profiles The velocity distribution is decreasing function of

the velocity slip parameter This tends that in slip condition

the fluid velocity near the wall of the sheet is no longer

equal to the stretching cylinder velocity Increasing

diminishes velocity due to when slip occurs the pulling of

the sheet can be only partly transmitted to the fluid Hence

the momentum boundary layer thickness decelerates as

increases The temperature and concentration hike for

increasing values of Table 1 shows that the present results

are in good agreement with Majeed et al in the absence of

cattaneo heat flux for Casson nanofluids Conclusions

Cattaneo-Christov heat flux model with

thermal relaxation time is employed to analyze casson

nanofluid past a stretching cylinder The problem is

modeled and then solved using shooting technique which

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
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Page 31: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

30ISBN 978-93-86770-41-7

was compared with previous results The main results are

summarized as follows

With the increase of Casson parameter β the

velocity decreases whereas inverse relationship is

found for temperature and concentration

The velocity and boundary layer thickness

increases with the increase of curvature (γ) of

cylinder whereas temperature and concentration

profiles decrease

Higher values of Prandtl number Pr reduce both

temperature and concentration profiles

Temperature decreases with the increasing values

of thermal relaxation parameter λ and

concentration increases

Temperature increases with the increase of

Brownian parameter Nb

For larger values of Lewis number Le the

temperature increases and Concentration decreases

References

[1]JBJ Fourier Theorie analytique De La chaleur

Paris 1822

[2]CCattaneo Sulla conuzione del calore Atti semin

Mat Fis Univ Modena Reggio Emilia 3 (1948)

83-101

[3]CI Christov on frame indifferent formulation of the

Maxwell-Cattaneo model of finite speed heat

conduction MechRes Commun (2009) 36481-

486

[4]B Straughan Thermal convective with cattaneo-

Christov model IntJHeat and Mass Transfer 53

95-98 (2010)

[5]V Tibllo and V Zampoli ldquoA uniqueness result for

Cattaneo-Christov heat conduction model applied

to incompressible fluidsrdquo MechRes Commun

(2011) 3877-99

[6]S Han L Zheng CLi and X Zhang Coupled flow

and heat transfer in viscoelastic fluid with

Cattaneo-Christov heat flux model Appl Math

Lett 38 87-93(2014)

[7]M Mustafa Cattaneo-Christov heat flux model for

rotating flow and heat transfer of upper convected

Maxwell fluid AIP Advances 5 047109(2015)

[8]Das B and Batra RL Secondary flow of a Casson

fluid in a slightly curved tube IntJ Non-Linear

Mechanics 28(5) (1993) 567

[9]Sayed Ahmed ME and Attia HA

Magnetohydrodynamic flow and heat transfer of a

non-Newtonian fluid in an eccentric annulus Can

JPhy 76(1998) 391

[10]Mustafa M Hayat T Pop I Aziz A Unsteady

boundary layer flow of a Casson fluid due to an

Impulsively started moving flat plate Heat transfer

Asian Resc 2011 40(6) 563-576

[11]AG Fredrickson Principles and Applications of

Rheology PrenticeHall Englewood Cliffs1964

[12] Eldabe NTM and Salwa MGE Heat transfer of

MHD non-Newtonian Casson fluid flow between

two rotating cylinders J Phy Soc Jpn 1995 64

41-64

[13] S Nadeem Rizwan ul haq MHD three dimensional

Casson fluid flow past a porous linearly Stretching

sheet Alexandria eng Journal (2013) 52 577-582

[14] Makanda G sachin Shaw Precious Sibanda Effect

of radiation on MHD free convection of aCasson

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
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Page 32: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

31ISBN 978-93-86770-41-7

fluid from a horizontal circular cylinder with

partial slip and viscous dissipation Boundary

value problems (2015) 13661-015-0333-5

[15] S U S Choi and J A Eastman ldquoEnhancing

thermal conductivity of fluids with nanoparticles

ASME International Mechanical engineering 66

99-105(1995)

[16] MY Malik M Naseer The boundary layer flow of

Casson nanofluid over a vertically stretching

Cylinder Appli Nanosci (2013) 869-873

[17] Wang CY(2012) Heat transfer over a vertical

stretching cylinder Commun Nonlinear Sci Num

Sim 17 1098-1103

[18] A Majeed T Javed a Ghaffari Heat transfer due

to stretching cylinder with partial slip and

Prescribed heat flux Alexandria Eng Jn (2015)54

1029-1036

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
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  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 33: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

32 ISBN 978-93-86770-41-7

Insilico Analysis of a Rice SR related proteinSRCTD-6 reveals a splicing function

SimmannaNakka and UdayBhaskarSajjaDepartment of Biotechnology

Dr B R Ambedkar University SrikakulamEtcherla Andhra Pradesh India - 532410

Abstract

RS domain containing proteins are associated withbinding to the exons of nascent primary transcript andrecruiting components of spliceosome for precise recognition ofthe splice junctions This is achieved with the help of RRMdomain by which the protein binds with the RNA Howeverthere are proteins which share the domain characteristics ofSR proteins but lacking the RRMs These proteins are groupedunder SR related proteins Here we described a SR RelatedCTD associate factor-6 (SRCTD-6) which contains unique setof domains Insilco analysis of this protein identified ahydrophilic signature with coiled domains and 2 distincthelices Domain characterization revealed the presence of anRPR domain an RS domain in the C-terminal and stretches ofProlines and Glutamines in the N-terminus Structural analysisof this protein hypothesise that it is recruited at the splicejunction by Heptad repeats of C-terminal domain of RNApolymerase II We predict that SRCTD-6 has a general role inidentifying the precise 5I and 3I splice junctions

IntroductionIn most of the Eukaryotes including Plants majority

of the genes are interrupted with Introns which have to beprecisely excised from Primary m-RNA transcript to giverise to a functional mature m-RNA transcript This processis achieved with the help of a RNA-Protein complex calledspliceosome (For review see Roy and Irimia 2009Whalletal 2009) Multiple transcripts from a single genecan be achieved by a regulated mechanism calledAlternative splicing In rice (OryzaSativa) more than 50 ofgenes undergo multiple alternative splicing eventsproducing a variety of transcripts(Zhang etal2010) Constitutive splicing and Alternativesplicing requires a number of associative proteins which actas both positive and negative regulators The Serine-Arginine (SR) splicing factors are highly conserved familyof RNA-binding proteins which participate in spliceosomeassembly at the splice junctions (Long and Cacers 2009)These proteins typically have one or two RNA RecognitionMotifs (RRMs) in the N-terminus and C-terminal RS

domain enriched in Arg-Ser (or Ser-Arg) repeats (Hayes andLakoucheva 2006) In addition to SR family other proteinshave been identified which may or may not have a RRMdomain but containing an RS domain These proteins arecollectively referred as SR-Related Proteins (Boucher etal2001)

Biochemical and Bio-Informatics approaches havedemonstrated the presence of Exonic Splicing Enhancers(ESEs) in the exonic and intronic sequences The ESErsquosserve as binding sites for the assembly of multi componentsplicing enhancer complexes It has been proposed that RSdomain of SR proteins binds to ESE and interacts directlywith RS domain of other splicing factors and there byrecruiting the spliceosomal components such as U1snRNPto 5I splice site or U2AF to 3I splice site (Graveley B R2000)

The processing of the 1st exon is thought to bemediated by the interaction between the cap bindingcomplex and the spliceosome The processing of the lastexon is thought to be mediated by the interaction of Polyadenylated complex and the spliceosome (Izaurralde etal1994) Hence capping splicing and 3I end processing areinterconnected CarboxyTerminal Domain (CTD) of RNAPolymerase-II achieves all these processes by recruiting allessential factors CTD of Eukaryotic RNA Polymerase-IIconsists of conserved Heptad repeats with consensussequence Tyr-Ser-Pro-Thr-Ser-Pro-Ser (Stiller and Hall2002) These repeats are the major sites for reversiblephosphorylation events CTD of RNA Polymerase-IIinteracts with a plethora of proteins having role intranscription processing and termination of primarytranscripts Many of the interacting proteins contains aconserved domain called RPR-domain (Nuclear RNAprocessing Region)

In this study we are describing a unique proteincontaining are Arginine and Serine de-peptides in the C-terminal region However this protein does not contain aRRM to be classified under SR proteins Hence this proteinis called an SR-Related protein Instead this protein

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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Page 34: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

33 ISBN 978-93-86770-41-7

contains an RPR domain which in previous studies havebeen showed to be interacting with CTD of RNAPolymerase-II The presence of RPR domain and SR richregion suggest a unique role for this protein in the splicingprocess Hence an attempt was made using Bioinformaticstools to elucidate the possible cellular function of thisprotein

MethodologyDatasets - SR Related CTD associated factor-6 proteinsequence from rice (OS06g0682700) and other sequencesused in this study were retrieved from thepublicdatabaseshttpwwwncbinlmnih govandhttpwwwebiacuk For experimentally determining the3D structure of SR Related CTD associated factor-6structural homologous subsets were retrieved from PDB(Protein Data Bank)Pattern Recognition - Analysis of protein conserveddomains and motifs were carried out using Interpro scanbased on the PROSITE and Pfam data bases(httpwwwebiacukinter) (Mulder etal2005 De Castroet al 2006 Sigrist et al 2012) The protein was furtheranalysed using the tools available in the EXPasy server(httpwwwexpasyorgtools) (Gasteiger et al 2005) APhysiochemical property of the selected protein wasdetermined using the protparam tools Hydropathy analysisof the selected protein was done based on Kyte andDoolittle Values (Kyte and Doolittle 1982 Gaboriaud et al1987)Homology modelling - The secondary structure analysiswas performed using the PELE program of the SDSCBiology workbench (httpworkbenchsdscedu)GLOBPLOT analysis based on Lindngi values was used toidentify intrinsic disorders in the protein sequence(Lindingetal 2003) Presence of Nuclear LocalizationSignals were checked using the NucPred program (Nguyenet al 2009)Protein models were generated by aligning tothe structural homologous in SWISSPDB homologymodelling web page on the quality of the protein model wasassessed using PROCHECK (Laskowski et al 2001) Thevisual display of the models was performed by SWISSPDBviewers (Johansson et al 2012)

Results and DiscussionsPrimary protein properties of SR-Related CTDassociated factor-6(SRCTD-6) Insilco analysis ofSRCTD-6 primary protein using PROSITE program revealsthat it is Proline rich protein which constitute up to 172 ifthe total amino acids These proteins are observedparticularly in N-terminal region of the protein Towards the

C-terminus the protein is rich in amino acids serine andArginine with RS (ArginineSerine dipeptides) repeatingtwice It further reveals that it is an unstable protein andestimated the half-life of 30 hours (Table-1)

Property Summary

1 Number of Amino acids 627

2 Theoritical Pi 602

3 Amino acid composition(Three most abundantAmino acids)

Pro (P) 108 ndash 172Ala (A) 51 ndash 81Ser (S) 47 ndash 75

4 Total number of negativelycharged residues (Asp+Glu)

61

5 Total number of positivelycharged residues (Arg+Lys)

49

6 Instability index 6680 (Protein isunstable)

7 Estimated half life 30 hrs

8 Grand Average ofhydrophathicity (GRAVY)

-0627

Table 1 Summary table showing the SR related CTDassociated factor 6 primary protein physiochemicalproperties

Previous studies have shown that the regions containingstretch of Prolines and Glutamines participate in Protein-Protein interaction SR domain towards the C-terminus ofthe protein is largely involved in interaction with other SRdomain containing proteins These observations suggest thatthis Protein might form a complex with other proteinsInterpro scan carried out revealed in addition to SR domainthe protein also has an RPR domain (aminoacids 234-264)(figure 1)

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 35: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

34 ISBN 978-93-86770-41-7

Figure 1 Protein sequence of SR related CTD associatedfactor 6 showing stretches of Glutaminrsquos and Prolinrsquos (Redand Blue respectively) in the N-Terminus RPR domainfrom position 234-364 shown in brown and SR amino acidsin the C-Terminus shown in green

The presence of SR domain suggests SRCTD-6 is a splicingfactor When SRCTD-6 was scanned for Nuclear localizedsignals using NucPred programme none were found (Figure2) Though this protein does not have recognisable Nuclearlocalized signals as it is a splicing factor it is possible that itis localized to the nucleus on Piggy-back with other Nuclearlocalizing proteins

Figure 2 SR related CTD binding factor 6 was scanned forNuclear Localization Signals using the NucPred programHowever no NLS were found in the sequence

SRCTD-6 Protein is HydrophilicHydropathy plotrevealed that SRCTD-6 protein is highly Hydrophilic withover 70 of residues falling in the hydrophilic region with anegative score (figure 3) The grand average ofHydropathacity (GRAVY) of SRCTD-6 is -0625suggesting that this protein is hydrated in aqueousenvironment

Figure 3 Hydropathy analysis of predicted protein SRrelated CTD associated factor 6 based on Kyte and Doolittlevalues using a seven residue window The residues showinghydropathy value below zero are hydrophilic in natureHydropathy plot shows residues from 233-364 in boxrepresenting the presence of a CID domain in that region

Figure 5 GLOBPLOT analysis of SR related CTDinteracting factor 6 indicating the regions of intrinsicdisorders and conserved RPR domain (CID) along thelength of the sequence

The structure prediction programme and intrinsic disorderprediction suggests that SRCTD-6 protein is chemicalparameters with well refined structures at similarresolutions This distribution of residues in the mostfavoured region of SRCTD-6 is 864 Thus SRCTD-6 isfairly good hypothetical protein model The Homologymodel of SRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteinsConserved Domains in the SRCTD-6 protein Thisprotein has RPR domain (position 224-264) which inprevious studies shown to be interacting with C-terminal tailof RNA Polymerase-II (Figure 5) Aspartic acid (D) presentin the DSI motif of RPR domain forms a covalent bond withTyrosine (Y) present in the Heptad repeats of C-terminal tailof RNA Polymerase-II DSI motif in SRCTD-6 is conservedexcept for the third amino acid where Glutamine (E) ispresent instead of Isoleucine (I) As Aspartic acid is intact inthe motif we can predict that this RPR domain mightinteract with Heptad repeats of CTD of RNA Polymerase-II

The C-terminal region of this protein is fairly richin Arginine and Serine amino acids Two Arginine - Serinedipeptides (RS) were observed with in this region Thesedipeptides are essential for binding to the ESE cis elementpresent in the Exons or for interacting with other proteinscontaining RS domain As this protein lacks an RRM it ishighly possible that this protein might not be interactingdirectly with the primary m-RNA transcript However thepresence of RPR domain RS domain and the N-terminalregion rich in proteins suggest that this protein might form arecognition complex having a role in precise recognition ofsplice junctions of nascent primary transcriptHomology Modelling Homology models validatedPROCHEK essentially satisfied stereo chemical parameters

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 36: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

35 ISBN 978-93-86770-41-7

with well refined structures at similar resolutions Thisdistribution of residues in the most favoured region ofSRCTD-6 is 864 Thus SRCTD-6 is fairly goodhypothetical protein model The Homology model ofSRCTD-6 is generated in this study could aid anddetermined the mechanistic functions of this class ofproteins

Figure 6 (a) Predicted 3D structure of SR CTD - 6 proteins(b) Ramachandran plot showing the residues of SRCTD ndash 6falling in the most favoured region and other allowedregions

ConclusionsSRCTD-6 protein is a rice protein with unique

domain architecture The presence of RPR domain inaddition to the RS domain gives it a unique role for thisprotein This protein is hydrophilic with predominantlyrandom coil arrangement of the residues along with a helicalconfirmation This protein does not bind to the primary m-RNA transcript because of a lack of RRM domainHowever the presence of RPR domain suggests aninteraction with CTD of RNA Polymerase-II betweenAspartic acid of RPR domain and Tyrosine of CTD Thispossible interaction suggests that it is recruited to the splicejunction by the RNA Polymerase-II The presence of RSdomain and in the splice junction SRCTD-6 might act as abridge between components of spliceosome and other SRproteins

References

1Roy SW Irimia M Splicing in the eukaryotic ancestorform function and dysfunctionTrendsEcolEvol 200924447ndash4552WahlMC WillCL and LuhrmannR Thespliceosomedesign principles of a dynamic RNP machineCell2009 136 701ndash7183Zhang G Guo G Hu X Zhang Y Li Q Li R Zhuang RLu Z He Z Fang X et al Deep RNA sequencing at singlebase-pair resolution reveals high complexity of the ricetranscriptome Genome Res202010 646ndash654

4Long JC Caceres JF The SR protein family of splicingfactors master regulators of gene expression Biochem2009 J417 15ndash275Haynes C Iakoucheva LM Serinearginine-rich splicingfactors belong to a class of intrinsically disordered proteinsNucleic Acids Res 200634 305ndash3126Boucher L Ouzounis CA Enright AJ Blencowe BJ Agenome-wide survey of RS domain proteinsRNA 2001 7pp 1693ndash17017Graveley BR Sorting out the complexity of SR proteinfunctions RNA200061197ndash12118Izaurralde E Lewis J McGuigan C Jankowska MDarzynkiewicz E Mattaj IW A nuclear cap binding proteincomplex involved in premRNA splicing Cell199478657ndash6689Stiller J W amp Hall B DEvolution of the RNApolymerase II C-terminal domainProcNatlAcadSci U S A200299 6091ndash609610Mulder NJ Apweiler R Attwood TK Bairoch ABateman A Binns D Bradley P Bork P Bucher PCerutti L et al InterPro progress and status in 2005Nucleic Acids Res 200533D201ndashD20511De Castro E Sigrist CJA Gattiker A Bulliard VLangendijk-Genevaux PS Gasteiger E Bairoch A Hulo N( ScanProsite detection of PROSITE signature matches andProRule-associated functional and structural residues inproteinsNucleic Acids Res 2006 Jul 134(Web Serverissue)W362-512Sigrist CJA de Castro E Cerutti L Cuche BA Hulo NBridge A Bougueleret L Xenarios I New and continuingdevelopments at PROSITE Nucleic Acids Res 2012 doi101093nargks106713Gasteiger E Hoogland C Gattiker A Duvaud SWilkins MR Appel RD Bairoch A ProteinIdentification and Analysis Tools on the ExPASy Server(In) John M Walker (ed) The Proteomics ProtocolsHandbook Humana Press (2005) pp 571-60714KyteJampDoolittleRFA simple method for displayingthe Hydropathic characters of a proteinJMolBiol1982157105-13215Gaboriaud C Bissery V Benchetrit T Mornon JHydrophobic cluster analysis an efficient new way tocompare and analyse amino acid sequences FEBSLett1987224149ndash15516Linding R Jensen LJ Diella F Bork P Gibson TJ et alProtein disorder prediction implications for structuralproteomics Structure 2003 11 1453ndash1459 doi101016jstr20031000217Nguyen Ba AN Pogoutse A Provart N MosesAMNLStradamus a simple Hidden Markov Model for

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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Page 37: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

36 ISBN 978-93-86770-41-7

nuclear localization signalprediction BMCBioinformatics200910202 doi1011861471-2105-10-20218Laskowski R A MacArthur M W Thornton J M PROCHECK validation of protein structure coordinatesin International Tables of Crystallography Volume FCrystallography of Biological Macromolecules edsRossmann M G amp Arnold E Dordrecht Kluwer AcademicPublishers The Netherlands 2001pp 722-72519JohanssonMU Zoete V Michielin O ampGuex NDefining and searching for structural motifs using DeepViewSwiss-Pdb viewer BMC Bioinformatics 201213173

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 38: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

37ISBN 978-93-86770-41-7

γ-Alumina Nanoparticle Catalyzed EfficientSynthesis of Highly

Substituted ImidazolesBandapalliPalakshi Reddy12 Vijayaparthasarathi Vijayakumar2

1SreeVidyanikethan engineering College Tirupati India

2Center for Organic and Medicinal Chemistry VIT University Vellore 632014 Tamil Nadu India

Author for correspondence e-mail palakshireddygmailcom

Abstract

γ-Aluminanano particle catalyzed multi component reaction of benzil arylaldehyde and aryl amines afforded the highlysubstituted 1245-tetraaryl imidazoles with good toexcellent yield in less reaction time under the sonication as well as theconventional methods Convenient operational simplicity mild conditions and the reusability of catalyst were the otheradvantages of this developed protocol

Keywords benzil arylaldehydes γ-Alumina

References

1 P A Eyers W W Craxton N Morrice P Cohen M Goedert Chem Biol 1998 5 321ndash328

2 M Kidwai P Mothsra V Bansal R K Somvanshi A S Ethayathulla S Dey T P Singh J Mol Catal A Chem 2007 265177ndash182

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • 6JNTUA Principal Messagepdf
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  • 8Dean Messagepdf
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  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 39: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

38 ISBN 978-93-86770-41-7

Molecular docking and interaction studies of kojicacid derivatives

M Ravikishore D Sumalatha G Rambabu and Y B Kiran

Department of Chemistry

Sree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Previous study showed that a series of kojic acid (5-hydroxy-2-hydroxymethyl-4H-pyran-4-one) derivatives has an ability to inhibit D-amino acid oxidase (PMID 23683589) Therefore in the present we have screened our newly synthesized kojaic acid derivatives (1)against D-amino acid oxidase The three dimensional structure of D-amino acid oxidase was provided in the Figure 1 The charges wereadded to the synthesized derivatives before performing docking The total charge added to the kojaic derivatives was -390 Free-energyscores from docking studies from pathcdock showed that these kojaic acid derivatives have a strong affinity towards D-amino acidoxidase

O

O

HO

O

R

kojaic derivatives (1)

Figure 1Three-dimensional structure of human D-amino acid oxidase (PDB ID 3W4J chainA) used for our study represented in cartoon

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 40: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

39 ISBN 978-93-86770-41-7

Is it worth doing investigations in

Organophosphorus ChemistryY B Kiran and G Rambabu

Department of ChemistrySree Vidyanikethan Engineering College A Rangampet Tirupati AP India

Phosphorus is unique out of all the elements present in Nature It is the eleventh most abundant element present in the earthrsquos crust as

phosphate rocks fluoro chloro hydroxyapatites [3Ca3(PO4)2CaF2 Cl2 (OH)2]1 These minerals form the basic raw materials for the

manufacture of elemental phosphorus and its compounds with both metallic and non-metallic elements2 Both organic and inorganic

phosphorus compounds are observed to be present not only in the global terrestrial and marine environments but also even in the other

plannets beyond earth ie in the entire universe3Phosphorus and life are interlinked Living organisms at the bottom of the food chain

absorb phosphorus as inorganic phosphate from the soil and water surrounding them2 The activated phosphate group phosphorylates

biological alcohols and form biophosphates of extraordinarily diverse types Nucleotides such as adenosine uridine andguanosine

triphosphates (ATP UTP and GTP) which form the fundamental units of nucleic acids (RNA and DNA) are the phosphate esters of

corresponding nucleosides Membrane phospholipids are glycerol phosphates In protein phosphates prosthetic group is phosphate

Sugar phosphates are involved as intermediates in glucose metabolism3 ATP and ferredoxin present in the nodule forming bacteria

Rhizoba convert nitrogen into ammonia and subsequently to enzymes4 ATP and other phosphates endowed with high energy maintain

the energy balance in many complex biochemical reactions2 It looks that lsquoNaturersquo has no option except to choosebiophosphates to

discharge vital functions of life5 Perhaps compounds of other elements may not be able to meet the manifold demands of the living

systems Futher Metal phosphine ligand complexes guide with unique selectivity the reaction course of hydrovinylation of olefins and

prevent side reactions like oligomerisation and isomerisation

All these information shows the lot of opportunity for investigations in Organophosphorus Chemistry

References

1 JD Lee Concise Inorganic Chemistry 5thedn Blackwell Science Ltd London 2001

2 J Emsley and D Hall The Chemistry of Phosphorus Harper amp Row London 1976

3 LD Quin A Guide to Organophosphorus Chemistry John Wiley and Sons Inc New York 2000

4 YB Kiran C Devendranath Reddy D Gunasekar C Suresh Reddy Annette Leon Luiz CA BarbosaEuropean Journal of

Medicinal Chemistry 200843 885ndash892

5 YB Kiran P Vasu Govardhana Reddy C Devendranath Reddy DGunasekar N P Eswara Reddy Journal of Agricultural and

Food Chemistry2007 55 6933ndash6939

6 GBuono C Siv G Peiffer C Triantaphylides P Denis A Mortreux and F Petit J Org Chem1985 50 1781

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 41: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

40ISBN 978-93-86770-41-7

EFFECT OF TEMPERATURE ON OPTICALBAND GAP OF TiO2 NANOPARTICLES

Naresh Kumar Reddy P1 Dadamiah PMD Shaik1 Ganesh V2 Thyagarajan K3 andVishnu Prasanth P1

1 Department of Physics Sree Vidyanikethan Engineering College ARangampet-517102AP India2Department of Physics and nanotechnology SRM University Chennai-603203 Tamil Nadu India

3Department of physics JNTUCP Pulivendula-516390 AP IndiaCorresponding authore-mail vishnuprasanthpgmailcom

Abstract Green synthesis is an environmental friendly technique compared to all other chemical methods as it does not

requiredhazardous chemicals and high temperatures Hence in the present work TiO2 nanoparticles were successfully prepared via

green synthesis method using Calotropis gigantea leaf extract The microstructural and optical properties ofthe sample werestudied

TheXRD and Raman resultsconfirmed the rutile phase for the sample and the crystallite size was found to be 984 nm The SEM

analysis revealed that the flower like shape of grains with an average grains size of 180 nm The EDS spectra confirmed the chemical

purity of the sample The vibrational modes of the sample werestudied using FTIR spectroscopy The studies show the decrease in

optical band gap from 307 to 286 eV with increase in temperature from 200 to 600 0c

KeywordsTiO2 nanoparticles Calotropisgigantea leaf band gap energy

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 42: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

41 ISBN 978-93-86770-41-7

Judd-Ofelt analysis and Luminence features of

Nd3+ doped fluorophosphate glassesM V Sasi kumar1 S Babu2Y C Ratnakaram2

1 SreeVidyanikethan Engineering College Department of physics ARangampet Tirupati AP ndash 517 102 INDIA2Department of physics Sri Venkateswara University Tirupati AP ndash 517 502 INDIA

Corresponding author e mail drsasimvgmailcom

Abstract

Spectroscopic properties of trivalent neodymium (Nd3+) doped fluorophosphate[P2O5 + Li2O +MgF2 + AlF3 + xNd2O3 x= 01

03 05 10 15 20] glasses with different Nd3+ concentrations have been prepared by conventional melt quenching technique and

characterized through various spectroscopic techniques such as optical absorptionexcitation spectra photoluminescence spectra and

lifetime decay profiles at room temperature along with the X-ray diffraction (XRD) FTIR techniques The amorphous nature of the

glass samples were confirmed by the XRD technique The structural studies were characterized by FTIR spectroscopyFrom the

measured intensities of various Nd3+ absorption bands of these glasses the Judd-Ofelt parameters Ω2 Ω4and Ω6were determined These

parameters are compared with those of other reported glass systems Using these Judd-Ofelt intensity parameters radiative lifetimes

(τR) branching ratios (β) integrated absorption cross-sections (Σ) and stimulated emission cross sections (σP) were calculated The

decay lifetime of the 4F32level has been measured from the decay profiles and compared with calculated lifetimesAmong all the glass

matrices 4F32 rarr 4I112transition exhibits higher stimulated emission cross sections (σP) than the other transitions has been observed

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
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  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
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  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
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Page 43: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

42 ISBN 978-93-86770-41-7

SPECTROCOPIC STUDIES ON MULTI-

COLOR EMITTING Tm3+Tb3+ IONS DOPED

TELLURITE GLASSES

T SASIKALA1

1Department of Physics Sree Vidyanikethan Engineering College (autonomous) A Rangampet-517102 AP INDIA

Tellurite based glasses of singly doped Tm3+ and co-doped Tm3+Tb3+ ions with molar compositions of (62-x) TeO2 + 25 ZnO +

8 K2O + 5 CaO + 05 Tm2O3 + x Tb4O7 (x = 0 05 10 15) were prepared by melt quenching technique The prepared samples are

characterized by optical absorption photoluminescence and decay measurement The two ions Tb3+and Tm3+ are efficiently excited at

359 nm and emission spectra were recorded by exciting the samples at this wavelength With increase of Tb3+ ions concentration the

intensities of the emission bands in visible region are increased upto 10 mol and beyond that the luminescence intensities of all bands

were quenched The relaxation channels responsible for the quenching of intensities of emission bands pertaining to Tm3+ and Tb3+ ions

were identified The magnitude of CIE color coordinates revealed that there is no significant variation in the emission color of co-doped

Tm3+Tb3+ ions with increase in the concentration of Tb3+ions The luminescence properties of Tm3+Tb3+ ions doped glasses in visible

region revealed their potential applicability in the field of solid state lighting

Corresponding author Email sasi_thammisettyyahoocoin

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
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  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
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  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 44: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE on ADVANCED TECHNOLOGIES in ENGINEERING MANAGEMENT and SCIENCES16thamp 17th Nov 2017

43 ISBN 978-93-86770-41-7

INVESTIGATIONS ON STRUCTURALAND ELECTRICAL PROPERTIES OFSPUTTERED MOLYBDENUM OXIDE

FILMS FOR MEASUREMENT OFSENSITIVTY OF NITROUS GASES AT

DIFFERENT CONCENTRATIONSV Nirupamaab S Uthanna and P SreedharaRedy

aSreeVidyanikethan Engineering College A Rangampet Tirupati AP IndiabDepartment of Physics Sri Venkateswara University Tirupati AP India

Abstract

Molybdenum oxideis a well known transition metal oxide and has been intensively studied due to its interesting thermal

and electrical transport properties Because of its interesting applications Molybdenum oxide (MoO3) films were

deposited by sputtering of molybdenum target under different physical parameters using DC magnetron sputtering

technique under optimized parameters The core level binding energies morphological and optical properties of the

(MoO3) films were studiedfor sub-stoichiometric and stoichiometric films From XPS analysis it is clear that MoO3films

were sub-stoichiometric in nature until the substrate temperature reaches to 473 K At particular temperature MoO3films

shows stoichiometric behaviour with oxidation state Mo6+The valence band spectra of the films showed the strong X- ray

photoemission peaks at about 547 750 and 2223 eVare related to the Mo 4d O 2p and O 2s orbitalrsquos respectivelySurface morphological studies shows that MoO3films roughness varies from 57 nm to 640 nm due to grain growth and

mechanical stress development within the films The sub-stoichiometric MoO3films are capable to detect the gases like

NH3with high sensitivity at lower temperature The MoO3films show high sensitivity for 400ppm concentration of NH3

and then decreasesThe electrical resistivity of MoO3 is high for mixed phases and decreases for stoichiometric films

Mixed phase MoO3films shows high response and retrace time for N2O and NO gases compared to single (α-MoO3)

phasefilms

Key Words DC sputteringmolybdenum oxide core level binding energiessensitivity

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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Page 45: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16thamp 17th NOVEMBER 2017

44 ISBN 978-93-86770-41-7

Preparation and Characterization of chemicalbath deposited CdS

Thin FilmsD Nagamalleswari1 Y Jayasree2and YB Kishore Kumar1

1Department of Physics Sri Vidyanikethan Engineering College A Rangampet Near Tirupati AP India2Department of Physics Sri Padmavathi Womenrsquos Degree amp PG College Tirupati AP India

Corresponding authors E-mail ybkksvugmailcom

Abstract

CdS thin films have been deposited by chemical bath deposition (CBD) technique onto chemically cleaned soda-lime glass

substrates at bath temperature 333 K The chemical bath contained aqueous solution of CdCl2 (01 M) thiourea (01 M) and ammonia

solution(14 M) The deposition time was about 30 min The CdS films are extremely adherent and uniform in nature The film

thickness was found to be 020 μm The XRD studies revels that the films are single phase and polycrystalline in nature with hexagonal

structure The lattice parameters of the films are found to be a = 0414 nm and c = 0674 nm These values are in good agreement with

the reported data [JCPDS Card No 10-0454] The crystallite size determined using Scherrerrsquos formula is found to be 33 nm The

optical band gap determined from the plot of (αh)2 vs h by extrapolating the linear portion onto h axis is found to be 244 eV The

CdS films were found to be n-type conducting with a resistivity of 104 Ω-cm

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 46: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

45 ISBN 978-93-86770-41-7

Signed Edge Domination on Rooted Product GraphC Shobha Rani

Department of MathematicsMadanapalle Institute of Technology amp Science

Madanapalle-517325 IndiaE-mail charapallishobhagmailcom

S Jeelani BegumDepartment of Mathematics

Madanapalle Institute of Technology amp ScienceMadanapalle-517325 India

E-mail sjbmathsgmailcom

G S S RajuDepartment of Mathematics

JNTUA College of EngineeringPulivendula- 516390 India

E-mail rajugssyahoocom

Abstractmdash Let G be a rooted product graph of path with a cycle

graph with the vertex set V and the edge set E Here nP be a

Path graph with n vertices and ( 3)mC m be a cycle with a

sequence of n rooted graphs 1 2 3 m m m mnC C C C Then by

n ( )mP C we denote the graph obtained by identifying the root of

m iC with the ith vertex of nP We call n ( )mP C the rooted

product of nP by mC and it is denoted by n mP C Every ith vertex

of nP is merging with any one vertex in every ith copy of mC So

in nG mP C nP contains n vertices and mC contains (m-1)

vertices in each copy of mC In this paper we discuss some results

on rooted product graph of path with a cycle graph

Keywords- Rooted product graph signed dominating functions

signed domination number

I INTRODUCTION

Graph theory is an important subject in mathematics

Applications in many fields like coding theory Logical

Algebra Engineering communications and Computer

networking The rooted product graphs are used in internet

systems for connecting internet to one system to other

systems

Mostly Product of graphs used in discrete mathematics In

1978 Godsil and McKay [3] introduced a new product on two

graphs 1G and 2G called rooted product denoted by 1 2G G In

1977 Mitchell and Hedetniemi [7] have studied about ldquoEdge

domination in treesrdquo In 2001 Xu [2] have studied about ldquoOn

signed edge domination numbers of graphsrdquo Further we

studied about signed edge domination in [1 4 5 6] Here we

can find out signed edge domination related parameters on

rooted product graph

II RESULTS ON SIGNED EDGE DOMINATION

Theorem 21 If m is divisible by 3 then the signed edge

domination number of nG mP C is2

( ) 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and m=3k

Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 1(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 2ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 ( 1) ( 1) 1 3ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 47: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

46 ISBN 978-93-86770-41-7

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) ( 1) 1 1 1 2ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore [ ]

( ) 1 ( 1) 1 1 1 3ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 0ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 ( 1) 1 ( 1) 1 1ie N e times

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then[ ] 2

( ) 1 1 1 ( 1) 2ie N e times

g e

If ( ) 6iadj e then[ ] 2

( ) 1 1 1 ( 1) 1 3ie N e times

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m

there are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 ( 1) 0ije N h

g e

Let [ ]k ije N h then[ ]

( ) ( 1) 1 1 1 2ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore

[ ]

1 ( 1) 1 ( 1) 1 1 if e [ ]( )

1 ( 1) 1 1 1 3 if e [ ]ij

k ij

k ije N h

N hg e

N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function

Now signed edge domination number is

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

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  • 12BACK PAGEpdf
Page 48: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

47 ISBN 978-93-86770-41-7

( )

2( ) ( 1) ( 1) ( 1) 1 1

3 3 3e E G

n times

m m mf e m n n m

Theorem 22 If m is not divisible by 3 that is m=3k+1 then

the signed edge domination number of nG mP C is

( ) 2 1 13sm

G n m

Proof Let nG mP C be a rooted product graph and

m=3k+1 Where k is a natural number set

We define a signed edge dominating function [01]f E as

follows

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 2 1 [ ]( )

1 1 1 1 4 1 [ ]ij

ij

ije N h

if N hf e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m

there are two edges of mC two edges of nP and there is an

edge which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( 1) 1 1 1 1 3 1 [ ]( )

1 1 1 1 1 5 1 [ ]ij

ij

ije N h

if N hf e

if N h

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now the minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 49: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

48 ISBN 978-93-86770-41-7

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let[ ]

( 1) 1 1 ( 1) 0 1 [ ][ ] ( )

1 1 1 ( 1) 2 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let[ ]

( 1) 1 1 1 2 1 [ ][ ] ( )

1 1 1 1 4 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let

[ ]

( 1) 1 1 1 ( 1) 1 1 [ ][ ] ( )

1 1 1 1 ( 1) 3 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

Let

[ ]

( 1) 1 1 1 1 3 1 [ ][ ] ( )

1 1 1 1 1 5 1 [ ]ij

ijk ij

ije N h

if N he N h g e

if N h

From the above possible cases we get

( )

( ) 1 for some ee E G

g e E

This implies g is not a signed edge dominating function

Hence f is a minimal signed edge dominating function if

m=3k+1

Now signed edge domination number is

( )

( ) ( 1) ( 1) ( 1) 2 1 13 3 3

e E G

n times

m m mf e m n n m

Theorem 23 If m is not divisible by 3 that is m=3k+2 then

the function [01]f E is defined by

1 for edges in each copy of C in G( ) 3

1otherwise

mm

f e

It becomes not a minimal signed edge dominating function

of nG mP C

Proof Let nG mP C be a rooted product graph and

m=3k+2 Where k is a natural number set

We define a signed edge dominating function as in the

hypothesis

Then by the definition of the function

1 2 1( ) ( ) ( ) 1

( ) 1 if j 0(mod 3) in each copy of

( ) 1 otherwise

n

ij m

ij

f e f e f e

f h C G

f h

By the function definition the values -1 is assigned to

3

medges in each copy of Cm and +1 is assigned to remaining

vertices in G

Case 1 If n where 12 ( 1)ie P i n

If ( ) 5iadj e then[ ]

( ) 1 1 1 1 1 1 6ie N e

f e

If ( ) 6iadj e then[ ]

( ) 1 1 1 1 1 1 1 7ie N e

f e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

f e

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 50: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

49 ISBN 978-93-86770-41-7

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 4ije N h

f e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Therefore[ ]

( ) 1 1 1 1 1 5ije N h

f e

From the above possible cases we get( )

( ) 1e E G

f e

This implies f is a signed edge dominating function

Now minimality check for of f Define another function

11g E by

1 for edges in each copy of C in G3

( ) 1 if e=e for some k

1 otherwise

m

k n

m

g e P

Since strict equality not holds at an edge i ne P it follows

that gltf

Case 1 If n where 12 ( 1)ie P i n

Sub case 1 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 ( 1) 1 1 4i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 ( 1) 1 1 1 5i

timese N e

g e

Sub case 2 Let [ ]k ie N e

If ( ) 5iadj e then 2[ ]

( ) 1 1 1 1 6i

timese N e

g e

If ( ) 6iadj e then 2[ ]

( ) 1 1 1 1 1 7i

timese N e

g e

Case 2 If 1 2 1 23 ij mh C i n j m

Subcase 1 Suppose ( ) 2ijadj h N ijh j=123---m there

are no edges of nP and two edges of mC and there are two

edges which are drawn from the vertices ( 1) and uij i ju of mC

Therefore[ ]

( ) 1 ( 1) 1 1ije N h

g e

Subcase 2 Suppose ( ) 3ijadj h N ijh j=123---m there

are two edges of mC one edge of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 ( 1) 2ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 4ije N h

g e

Subcase 3 Suppose ( ) 4ijadj h N ijh j=123---m there

are two edges of mC two edges of nP and there is an edge

which are drawn from the vertices

i=12---nj=1 or (m-1) and v 1ij iu i or n

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 ( 1) 3ije N h

g e

Let [ ]k ije N h then[ ]

( ) 1 1 1 1 1 5ije N h

g e

From the above possible cases we get( )

( ) 1e E G

g e

This implies g is also a signed edge dominating function

Hence f is not a minimal signed edge dominating function if

m=3k+2

REFERENCES

[1] B Zelinka ldquoOn signed edge domination numbers of

treesrdquo Mathematica Bohemica Vol 127(1) pp 49-55 2002

[2] B Xu ldquoOn signed edge domination numbers of graphsrdquo Discrete

Mathematics Vol 239(1-3) pp 179-189 2001

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 51: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...

1st INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES IN ENGINEERING MANAGEMENT AND SCIENCES 16th amp 17th NOVEMBER 2017

50 ISBN 978-93-86770-41-7

[3] C D Godsil amp B D McKay ldquoA new graph product and its

spectrumrdquo Bulletin of the Australian Mathematical Society Vol 18(1)

pp 21-28 1978

[4] H Karami A Khodkar and S M Sheikholeslami ldquoAn improved upper

bound for signed edge domination numbers in graphsrdquo Utilitas Math

Vol 78 pp 121ndash128 2009

[5] H Karami A Khodkar and S M Sheikholeslami ldquoSigned edge

domination numbers in treesrdquo Ars Combinatoria Vol 93 pp451-457

2009

[6] H Xia F Wei amp J Xu Chunlei ldquoSigned edge total domination

numbers of two classes of graphsrdquo International Journal of Pure and

Applied Mathematics Vol 81(4) pp 581-590 2012

[7] S Mitchell and S T Hedetniemi ldquoEdge domination in treesrdquo Congr

Numer Vol 19 pp 489ndash509 1977

  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf
Page 52: About College - GVIC · About College Golden Valley Integrated Campus ... (Gold Medalist), ... The above Tamil proverb is interpreted in English as follows: ...
  • 1FRONT PAGEpdf
  • 2About Collegepdf
  • 4Chairmain Messagepdf
  • 5Principal Messagepdf
  • 6JNTUA Principal Messagepdf
  • 7Director Messagepdf
  • 8Dean Messagepdf
  • 9Advisory Panelpdf
  • 10Prayer Finalpdf
  • 11BS INDEXpdf
  • ICATEMS_BS_020 Glycoside-Tethered Gd(III)-DPTA for an MRI Bloodpoolcontrast Agent1pdf
  • ICATEMS_BS_049 Spectral Studies of Eu3+ Zno - B2O3 - PbO - Cao - Al2O3 glasses(1)pdf
  • ICATEMS_BS_050 ETIQUETTE- OPEN DOORS TO SUCCESSpdf
  • ICATEMS_BS_117 Evolution of quantum efficiency of Dy3+ and Sm3+ doped lithium sodium bismuth borate (LSBB) glasses for photonic devices applicationspdf
  • ICATEMS_BS_128 Casson nanofluid flow over a Stretching Cylinder with Cattaneo-Christov Heat Flux modelpdf
  • ICATEMS_BS_136 Insilico Analysis of a Rice SR related protein SRCTD-6 reveals a splicing functionpdf
  • ICATEMS_BS_137 γ-Alumina Nanoparticle Catalyzed Efficient Synthesis of Highlypdf
  • ICATEMS_BS_138 Molecular docking and interaction studies of kojic acid derivativespdf
  • ICATEMS_BS_139 Is it worth doing investigations in Organophosphorus Chemistrypdf
  • ICATEMS_BS_140 EFFECT OF TEMPERATURE ON OPTICAL BAND GAP OF TiO2 NANOPARTICLESpdf
  • ICATEMS_BS_150 Judd-Ofelt analysis and Luminence features of Nd3+ doped fluorophosphate glassespdf
  • ICATEMS_BS_151 SPECTROCOPIC STUDIES ON MULTI-COLOR EMITTING Tm3+Tb3+ IONS DOPED TELLURITE GLASSESpdf
  • ICATEMS_BS_152 INVESTIGATIONS ON STRUCTURAL AND ELECTRICAL PROPERTIES OF SPUTTERED MOLYBDENUM OXIDE FILMS FOR MEASUREMENT OF SENSITIVTY OF NITROUS GASES AT DIFFERENT CONCENTRATIONSpdf
  • ICATEMS_BS_153 Preparation and Characterization of chemical bath deposited CdSpdf
  • ICATEMS_BS_154 Signed Edge Domination on Rooted Product Graphpdf
  • 12BACK PAGEpdf