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Item Details
Title: SPECTRAL GENERALIZATIONS OF LINE GRAPHS
ON GRAPHS WITH LEAST EIGENVALUE -2
By: Dragos Cvetkovic, Peter Rowlinson, Slobodan Simic
Format: Electronic book text

List price: £102.00


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ISBN 10: 0511751753
ISBN 13: 9780511751752
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 4 August, 2010
Series: London Mathematical Society Lecture Note Series 314
Description: An important resource for all researchers with an interest in algebraic graph theory.
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. 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.
Illustrations: 47 b/w illus. 9 tables
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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