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
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
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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
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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
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
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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
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
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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
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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
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)
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
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
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
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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
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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
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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
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
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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
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
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1
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6
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Jagadeesh KumarPR1 ThasleemS
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reddy18
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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
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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
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
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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
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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
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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
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)
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
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
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
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
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)
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
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
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
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
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)
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
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
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)
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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