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OverviewThis 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. Full Product DetailsAuthor: Andries E. Brouwer , Willem H. HaemersPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2012 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 0.564kg ISBN: 9781461419389ISBN 10: 1461419387 Pages: 250 Publication Date: 16 December 2011 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsGraph 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.ReviewsFrom 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)" Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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