By Norman Biggs

it is a great 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. plenty of 'Additional effects' are incorporated on the finish of every bankruptcy, thereby masking many of the significant advances within the final two decades. Professor Biggs' simple target is still to precise houses of graphs in algebraic phrases, then to infer theorems approximately them. within the first half, he tackles the purposes of linear algebra and matrix idea to the learn of graphs; algebraic buildings corresponding to adjacency matrix and the prevalence matrix and their purposes are mentioned extensive. There follows an intensive account of the speculation of chromatic polynomials, a subject matter which has powerful hyperlinks with the 'interaction versions' studied in theoretical physics, and the speculation 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 crew idea. This new and enlarged variation this may be crucial interpreting for a variety of mathematicians, computing device scientists and theoretical physicists.

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Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs

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