298 pp. Tightly bound. Spine not compromised. Text is free of markings. No ownership markings. PLEASE NOTE: There is a bump to the top edge of the back cover and top edge of the last few pages in the book. There is also a light bump at the heel of the spine.

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Bibliographic Details

Title: Spectral Generalizations of Line Graphs: On Graphs with Least Eigenvalue -2
Publisher: Cambridge University Press, New York, NY
Publication Date: 2004
Language: English
ISBN 10: 0521836638
ISBN 13: 9780521836630
Binding: Paperback
Condition: Acceptable to Good

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Synopsis

Line graphs have the property that their least eigenvalue is greater than, or equal to, -2, a property shared by generalized line graphs and a finite number of so-called exceptional graphs. This book deals with all these families of graphs in the context of their spectral properties. Technical descriptions of these graphs are included in the appendices, while the bibliography provides over 250 references. It will be an important resource for all researchers with an interest in algebraic graph theory.

Book Description

Line graphs have the property that their least eigenvalue is greater than or equal to -2, a property shared by generalized line graphs and a finite number of so-called exceptional graphs. This book deals with all these families of graphs in the context of their spectral properties. The authors discuss the three principal techniques that have been employed, namely 'forbidden subgraphs', 'root systems' and 'star complements'. They bring together the major results in the area, including the recent construction of all the maximal exceptional graphs. Technical descriptions of these graphs are included in the appendices, while the bibliography provides over 250 references. This will be an important resource for all researchers with an interest in algebraic graph theory.

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