Algebraic Graph Theory (Cambridge Mathematical Library)

Biggs, Norman

ISBN 10: 052120335X / ISBN 13: 9780521203357

Published by Cambridge University Press, 1974

About this Item

Good in Good dust jacket; dj has corner wear and a couple of stains.Used with wear and a couple of markings/stamps. Seller Inventory # mon0000708436

Bibliographic Details

Title: Algebraic Graph Theory (Cambridge ...

Publisher: Cambridge University Press

Publication Date: 1974

Binding: hardcover

Condition: Good

Dust Jacket Condition: Dust Jacket Included

Edition: 2nd Edition

About this title

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.

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.