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Book Cover
E-book
Author Brouwer, A. E. (Andries Evert)

Title Spectra of graphs / Andries E. Brouwer, Willem H. Haemers
Published New York, NY : Springer, ©2012

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Description 1 online resource (xiii, 250 pages) : illustrations
Series Universitext, 0172-5939
Universitext.
Contents Graph spectrum -- Linear algebra -- Eigenvalues and eigenvectors of graphs -- The second largest eigenvalue -- Trees -- Groups and graphs -- Topology -- Euclidean representations -- Strongly regular graphs -- Regular two-graphs -- Association schemes -- Distance regular graphs. -- p-ranks -- Spectral characterizations -- Graphs with few eigenvalues -- References -- Author Index -- Subject Index
Summary Annotation 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
Analysis Mathematics
Group theory
Algebraic Geometry
Group Theory and Generalizations
Bibliography Includes bibliographical references (pages 229-242) and author index
Notes English
Subject Graph theory.
Mathematics.
Mathematical Concepts
Mathematics
Teoría de grafos
Matemáticas
Mathematics
Graph theory
Form Electronic book
Author Haemers, W. H.
ISBN 9781461419396
1461419395
1461419387
9781461419389