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Spectra of Graphs
Buch von Willem H. Haemers (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Provides an excellent introduction to advanced topics in graph spectral theory

Written by experts in this area

Includes tables, references, author and subject index

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 264
Reihe: Universitext
Inhalt: xiv
250 S.
ISBN-13: 9781461419389
ISBN-10: 1461419387
Sprache: Englisch
Herstellernummer: 80032176
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Haemers, Willem H.
Brouwer, Andries E.
Auflage: 2012
Hersteller: Springer New York
Springer US, New York, N.Y.
Universitext
Maße: 241 x 160 x 19 mm
Von/Mit: Willem H. Haemers (u. a.)
Erscheinungsdatum: 16.12.2011
Gewicht: 0,564 kg
preigu-id: 106780751
Zusammenfassung

Provides an excellent introduction to advanced topics in graph spectral theory

Written by experts in this area

Includes tables, references, author and subject index

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 264
Reihe: Universitext
Inhalt: xiv
250 S.
ISBN-13: 9781461419389
ISBN-10: 1461419387
Sprache: Englisch
Herstellernummer: 80032176
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Haemers, Willem H.
Brouwer, Andries E.
Auflage: 2012
Hersteller: Springer New York
Springer US, New York, N.Y.
Universitext
Maße: 241 x 160 x 19 mm
Von/Mit: Willem H. Haemers (u. a.)
Erscheinungsdatum: 16.12.2011
Gewicht: 0,564 kg
preigu-id: 106780751
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