[图书][B] Spectra of graphs
AE Brouwer, WH Haemers - 2011 - books.google.com
This book gives an elementary treatment of the basic material about graph spectra, both for
ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering …
ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering …
Which graphs are determined by their spectrum?
ER Van Dam, WH Haemers - Linear Algebra and its applications, 2003 - Elsevier
Which graphs are determined by their spectrum? Page 1 Linear Algebra and its Applications
373 (2003) 241–272 www.elsevier.com/locate/laa Which graphs are determined by their …
373 (2003) 241–272 www.elsevier.com/locate/laa Which graphs are determined by their …
[图书][B] Spectral generalizations of line graphs: On graphs with least eigenvalue-2
D Cvetkovic, P Rowlinson, S Simic - 2004 - books.google.com
Line graphs have the property that their least eigenvalue is greater than or equal to-2, a
property shared by generalized line graphs and a finite number of so-called exceptional …
property shared by generalized line graphs and a finite number of so-called exceptional …
Decentralised minimum-time consensus
We consider the discrete-time dynamics of a network of agents that exchange information
according to a nearest-neighbour protocol under which all agents are guaranteed to reach …
according to a nearest-neighbour protocol under which all agents are guaranteed to reach …
Periodic graphs
C Godsil - arXiv preprint arXiv:0806.2074, 2008 - arxiv.org
Let $ X $ be a graph on $ n $ vertices with with adjacency matrix $ A $ and let $ H (t) $
denote the matrix-valued function $\exp (iAt) $. If $ u $ and $ v $ are distinct vertices in $ X …
denote the matrix-valued function $\exp (iAt) $. If $ u $ and $ v $ are distinct vertices in $ X …
[PDF][PDF] Graph spectra and continuous quantum walks
G Coutinho, C Godsil - Unpublished notes, 2021 - math.uwaterloo.ca
Graph Spectra and Continuous Quantum Walks Gabriel Coutinho, Chris Godsil Page 1 Graph
Spectra and Continuous Quantum Walks Gabriel Coutinho, Chris Godsil January 1, 2021 Page …
Spectra and Continuous Quantum Walks Gabriel Coutinho, Chris Godsil January 1, 2021 Page …
Three-class association schemes
ER Van Dam - Journal of Algebraic Combinatorics, 1999 - Springer
We study (symmetric) three-class association schemes. The graphs with four distinct
eigenvalues which are one of the relations of such a scheme are characterized. We also …
eigenvalues which are one of the relations of such a scheme are characterized. We also …
[PDF][PDF] Small regular graphs with four eigenvalues
ER van Dam, E Spence - Discrete Mathematics, 1998 - research.tilburguniversity.edu
Tilburg University Small regular graphs with four eigenvalues van Dam, ER; Spence, E. Page 1
Tilburg University Small regular graphs with four eigenvalues van Dam, ER; Spence, E …
Tilburg University Small regular graphs with four eigenvalues van Dam, ER; Spence, E …
Graphs with few eigenvalues: an interplay between combinatorics and algebra
ER van Dam - 1996 - research.tilburguniversity.edu
Two standard matrix representations of a graph are the adjacency matrix and the Laplace
matrix. The eigenvalues of these matrices are interesting parameters of the graph. Graphs …
matrix. The eigenvalues of these matrices are interesting parameters of the graph. Graphs …
[图书][B] Regular graphs: a spectral approach
Z Stanić - 2017 - books.google.com
Written for mathematicians working with the theory of graph spectra, this (primarily
theoretical) book presents relevant results considering the spectral properties of regular …
theoretical) book presents relevant results considering the spectral properties of regular …