[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 …

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 …

[HTML][HTML] Equiangular lines in Euclidean spaces

G Greaves, JH Koolen, A Munemasa… - Journal of Combinatorial …, 2016 - Elsevier
We obtain several new results contributing to the theory of real equiangular line systems.
Among other things, we present a new general lower bound on the maximum number of …

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 …

[HTML][HTML] Q-integral graphs with edge–degrees at most five

SK Simić, Z Stanić - Discrete mathematics, 2008 - Elsevier
Q-integral graphs with edge–degrees at most five - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

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 …

Divisible design graphs

WH Haemers, H Kharaghani… - Journal of combinatorial …, 2011 - Elsevier
A divisible design graph is a graph whose adjacency matrix is the incidence matrix of a
divisible design. Divisible design graphs are a natural generalization of (v, k, λ)-graphs, and …

[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 …

[HTML][HTML] Enumeration of Seidel matrices

F Szöllősi, PRJ Östergård - European Journal of Combinatorics, 2018 - Elsevier
In this paper Seidel matrices are studied, and their spectrum and several related algebraic
properties are determined for order n≤ 13. Based on this Seidel matrices with exactly three …

Characterisation of all integral circulant graphs with multiplicative divisor sets and few eigenvalues

JW Sander, T Sander - Journal of Algebraic Combinatorics, 2023 - Springer
We present a method which in principal allows to characterise all integral circulant graphs
with multiplicative divisor set having a spectrum, ie the set of distinct eigenvalues, of any …