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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Spectra of Graphs ([Ebook]) / by Andries E. Brouwer, Willem H. Haemers.
Author	Brouwer, Andries Evert
Added Personal Name	Haemers, Willem H.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2012.
Physical Details	XIII, 250 pages, 24 illus. : online resource.
Series	Universitext 0172-5939
ISBN	9781461419396
Summary Note	This book provides an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. It covers standard topics such as bounds on the sizes of cliques and cocliques, chromatic number and Shannon capacity, the connection between randomness and the 'eigenvalue gap', and applications. It continues with a presentation of some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end ofÂ 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. Â Spectra of Graphs is written for researchers, teachers and 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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-1939-6
Links to Related Works	Subject References: Algebraic Geometry . Geometry, Algebraic . Group theory . Group Theory and Generalizations . Mathematics . Authors: author . Brouwer, Andries Evert . Haemers, Willem H. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.35 . 516.35 (DDC 23) .

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Spectra of Graphs

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