Norman Biggs's Algebraic Graph Theory (Cambridge Mathematical Library) PDF

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. various '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 continues to be to precise 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 thought to the examine of graphs; algebraic structures equivalent to adjacency matrix and the prevalence matrix and their purposes are mentioned extensive. There follows an in depth account of the speculation of chromatic polynomials, a topic which has powerful hyperlinks with the 'interaction types' studied in theoretical physics, and the idea of knots. The final half bargains with symmetry and regularity homes. the following there are vital connections with different branches of algebraic combinatorics and workforce idea. This new and enlarged variation it will be crucial interpreting 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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