Algebraic Graph Theory (Cambridge Mathematical Library) - Softcover

Biggs, Norman

Softcover

ISBN 10: 0521458978 ISBN 13: 9780521458979

Publisher: Cambridge University Press, 1994

Synopsis

In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject that has strong links with the "interaction models" studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. The structure of the volume is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of "Additional Results" are included at the end of each chapter, thereby covering most of the major advances in the past twenty years. This new and enlarged edition will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.

About this title

Book Description

This substantial revision of a much-quoted monograph--originally published in 1974--aims to express properties of graphs in algebraic terms, then to deduce theorems about them. Although the structure of the volume is unchanged, the text has been clarified and the notation brought into line with current practice.

About the Author

fm.author_biographical_note1

Edition details

• Publisher: Cambridge University Press
• Publication date: 1994
• ISBN 10: 0521458978
• ISBN 13: 9780521458979
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 214