Algebraic Graph Theory (Cambridge Mathematical Library) - Hardcover

Biggs, Norman

Hardcover

ISBN 10: 052120335X ISBN 13: 9780521203357

Publisher: Cambridge University Press, 1974

Synopsis

This is a substantial revision of a much-quoted monograph, first published in 1974. The structure 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 last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, 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 which 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. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.

About this title

Book Description

In this substantial revision of his excellent book, Professor Biggs has taken the opportunity to clarify and update the text, whilst leaving the structure unchanged. Like the first edition, this will be essential reading for all combinatorialists.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1974
• ISBN 10: 052120335X
• ISBN 13: 9780521203357
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 176