By Norman Biggs

this can be a massive revision of a much-quoted monograph, first released in 1974. The constitution is unchanged, however the textual content has been clarified and the notation introduced into line with present perform. a great number of 'Additional effects' are incorporated on the finish of every bankruptcy, thereby masking lots of the significant advances within the final two decades. Professor Biggs' uncomplicated objective is still to specific homes of graphs in algebraic phrases, then to infer theorems approximately them. within the first half, he tackles the purposes of linear algebra and matrix thought to the examine of graphs; algebraic buildings comparable to adjacency matrix and the prevalence matrix and their functions are mentioned extensive. There follows an in depth account of the idea of chromatic polynomials, an issue which has robust hyperlinks with the 'interaction versions' studied in theoretical physics, and the idea of knots. The final half bargains with symmetry and regularity houses. right here there are very important connections with different branches of algebraic combinatorics and team conception. This new and enlarged variation this may be crucial examining for a variety of mathematicians, laptop scientists and theoretical physicists.

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