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.
- ISBN13 9780521836630
- Publish Date 22 July 2004
- Publish Status Active
- Out of Print 26 August 2021
- Publish Country GB
- Imprint Cambridge University Press
- Format Paperback (US Trade)
- Pages 310
- Language English