Spectra of Graphs

A.E. Brouwer, W.H. Haemers

Research output: Book/ReportBookScientific

Abstract

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 standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text.

Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.
Original languageEnglish
Place of PublicationHeidelberg
PublisherSpringer Verlag
Number of pages250
ISBN (Print)9781461419389
Publication statusPublished - 2012

Publication series

NameUniversitext

Fingerprint

Graph Spectra
Spectra of Graphs
Linear algebra
Perron-Frobenius Theorem
Eigenvalue
P-rank
Interlacing
Strongly Regular Graph
Association Scheme
Excursion
Laplace
Exercise
Tables
Covering
Vary
Configuration
Graph in graph theory
Text

Cite this

Brouwer, A. E., & Haemers, W. H. (2012). Spectra of Graphs. (Universitext). Heidelberg: Springer Verlag.
Brouwer, A.E. ; Haemers, W.H. / Spectra of Graphs. Heidelberg : Springer Verlag, 2012. 250 p. (Universitext).
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Brouwer, AE & Haemers, WH 2012, Spectra of Graphs. Universitext, Springer Verlag, Heidelberg.

Spectra of Graphs. / Brouwer, A.E.; Haemers, W.H.

Heidelberg : Springer Verlag, 2012. 250 p. (Universitext).

Research output: Book/ReportBookScientific

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Brouwer AE, Haemers WH. Spectra of Graphs. Heidelberg: Springer Verlag, 2012. 250 p. (Universitext).