ENGLISH

Algebraic graph theory

By Norman Biggs

Book information

Publisher
Cambridge University Press
Year
1974
ISBN
052120335X, 9780521203357
LCC
QA166 .B53
Open Library ID
OL5437392M
Language
english
Format
DJVU
Filesize
1 MB (1358806 bytes)
Series
Cambridge Tracts in Mathematics
Edition
2
Pages
178\178
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2010-07-29 05:14:56

Description

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.

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