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Discrete mathematics --- Mathematics --- 519.1 --- Combinatorics. Graph theory --- 519.1 Combinatorics. Graph theory --- Analyse combinatoire --- Graphes, Théorie des

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Discrete mathematics --- 519.1 --- Combinatorics. Graph theory --- Combinatorial analysis. --- 519.1 Combinatorics. Graph theory --- Combinatorial analysis --- Analyse combinatoire

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This volume is a record of the papers presented to the fourth British Combinatorial Conference held in Aberystwyth in July 1973. Contributors from all over the world took part and the result is a very useful and up-to-date account of what is happening in the field of combinatorics. A section of problems illustrates some of the topics in need of further investigation.

Combinatorial analysis --- 519.1 --- Congresses --- 519.1 Combinatorics. Graph theory --- Combinatorics. Graph theory --- Congresses. --- Analyse combinatoire --- Congrès --- Discrete mathematics

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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.

Discrete mathematics --- Graph theory --- Théorie des graphes --- 519.1 --- 512 --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Combinatorics. Graph theory --- Algebra --- Extremal problems --- Graph theory. --- 512 Algebra --- 519.1 Combinatorics. Graph theory --- Théorie des graphes --- Graphes, Théorie des