New PDF release: Algebraic Graph Theory (Cambridge Mathematical Library)

By Norman Biggs

it is a monstrous 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 good number of 'Additional effects' are incorporated on the finish of every bankruptcy, thereby overlaying many of the significant advances within the final 20 years. Professor Biggs' simple target continues to be to precise houses of graphs in algebraic phrases, then to infer theorems approximately them. within the first half, he tackles the functions of linear algebra and matrix concept to the examine of graphs; algebraic buildings comparable to adjacency matrix and the occurrence matrix and their purposes are mentioned extensive. There follows an in depth account of the idea of chromatic polynomials, a topic which has powerful hyperlinks with the 'interaction versions' studied in theoretical physics, and the idea of knots. The final half offers with symmetry and regularity houses. right here there are vital connections with different branches of algebraic combinatorics and crew conception. This new and enlarged version it will be crucial studying for quite a lot 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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