Algebraic Graph Theory
2nd Revised edition
By (author) Norman L. Biggs
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Algebraic Graph Theory by Norman L. Biggs
Book DescriptionThis 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.
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Book DetailsISBN: 9780521458979
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-Feb-1994
Country of Publication: United Kingdom
Books By Author Norman L. Biggs
Discrete Mathematics, Hardback (December 2002)
The new edition of this text includes additional chapters on statements and proof, logical framework, and natural numbers and the integers. The updated chapters offer over 1000 tailored exercises, and an accompanying website contains hints and solutions to all exercises.
Mathematics for Economics and Finance, Paperback (July 1996)
An introduction to mathematical modelling in economics and finance.
Graph Theory, 1736-1936, Paperback (December 1986)
Building on a set of original writings from some of the founders of graph theory, this book traces the historical development of the subject through a linking commentary. The relevant underlying mathematics is also explained, providing an introduction to the subject for students.
Permutation Groups and Combinatorial Structures, Paperback (August 1979)» View all books by Norman L. Biggs
The subject of this book is the action of permutation groups on sets associated with combinatorial structures.
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