Spectral Generalizations of Line Graphs

Erscheinungsjahr 2004
ISBN: 978-0-521-83663-0
Verlag: Cambridge University Press

Buch, Englisch, Band 314, 310 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 455 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Cvetkovic, Drago¿

Rowlinson, Peter

Simic, Slobodan

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

1. Introduction; 2. Forbidden subgraphs; 3. Root systems; 4. Regular graphs; 5. Star complements; 6. The Maximal exceptional graphs; 7. Miscellaneous results.