Spectra of graphs with pendants Akito Suzuki(Shinshu Univ.) Related papers: 1. A. Suzuki, Spectrum of the Laplacian on a covering graph with pendant edges I, Linear Algebra Appl. 439, 3464–3489, 2013. 2. I. Sasaki, A. Suzuki, Essential spectrum of the discrete Laplacian on a deformed lattice, in preparation. International Conference Inverse Problem and Related Topics 18 th Aug. 2014 1
47
Embed
Spectra of graphs with pendants · Spectra of graphs with pendants Akito Suzuki(Shinshu Univ.) Related papers: 1. A. Suzuki, Spectrum of the Laplacian on a covering graph with
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Spectra of graphs with pendants
Akito Suzuki(Shinshu Univ.)
Related papers:
1. A. Suzuki, Spectrum of the Laplacian on a covering graph with pendant edges I,
Linear Algebra Appl. 439, 3464–3489, 2013.
2. I. Sasaki, A. Suzuki, Essential spectrum of the discrete Laplacian on a deformed lattice,
in preparation.
International Conference
Inverse Problem and Related Topics
18th Aug. 2014
1
1. Graphs with pendants
2
Graphene: hexagonal lattice consisting of carbon atoms
: A carbon atom 3
Graphene: hexagonal lattice consisting of carbon atoms
: A carbon atom is regarded as a vertex with a degree of 3.
A chemical bond between
two carbon atoms is regarded
as an edge.
4
Graphane (with an a): Fully hydrogenated graphene
: A carbon atom
: A hydrogen atom5
Graphane (with an a): Fully hydrogenated graphene
: A carbon atom corresponds to a vertex with a degree of 4.
: A hydrogen atom corresponds to a vertex with a degree of 1. → a pendant vertex6
Graphane (with an a): Fully hydrogenated graphene
: A carbon atom corresponds to a vertex with a degree of 4.
Graphane is a graph with pendants.
: A hydrogen atom corresponds to a vertex with a degree of 1. → a pendant vertex7