Overview

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.

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9781461419389

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From the reviews: Algebraic graph theory seeks logical relations between the graph structure and spectrum structure. Viewing graphs as matrices makes graph spectra a rich, nuanced branch of linear algebra, the central undergraduate subject. ... the present volume offers the more thorough literature survey. Summing Up: Recommended. Upper-division undergraduates and above. (D. V. Feldman, Choice, Vol. 49 (11), August, 2012)

"From the reviews: ""Algebraic graph theory seeks logical relations between the graph structure and spectrum structure. Viewing graphs as matrices makes graph spectra a rich, nuanced branch of linear algebra, the central undergraduate subject. ... the present volume offers the more thorough literature survey. Summing Up: Recommended. Upper-division undergraduates and above."" (D. V. Feldman, Choice, Vol. 49 (11), August, 2012)"

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