Spectra of Graphs
By: by Andries E. Brouwer, Willem H. Haemers
Contributors: Haemers, Willem H.; SpringerLink (Online service)
Series: Universitext
Publisher: Andries E. Brouwer and Willem H. Haemers
Published: 2012
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 250
ISBN-13: 9781461419389; 9781461419396
Subjects: Group theory; Mathematics; Algebraic Geometry; Group Theory and Generalizations
Description: 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 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 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.