Get Algebraic Graph Theory (Cambridge Mathematical Library) PDF

By Norman Biggs

ISBN-10: 052120335X

ISBN-13: 9780521203357

ISBN-10: 0521458978

ISBN-13: 9780521458979

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 two decades. Professor Biggs' uncomplicated goal continues to be to specific homes 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 learn of graphs; algebraic buildings equivalent to adjacency matrix and the prevalence matrix and their functions are mentioned intensive. There follows an intensive account of the idea of chromatic polynomials, an issue which has powerful hyperlinks with the 'interaction types' studied in theoretical physics, and the speculation of knots. The final half offers with symmetry and regularity houses. the following there are vital connections with different branches of algebraic combinatorics and workforce conception. This new and enlarged version this can be crucial examining for a variety of mathematicians, desktop scientists and theoretical physicists.

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Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs

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