Download PDF by Norman Biggs: Algebraic Graph Theory (Cambridge Mathematical Library)

By Norman Biggs

this can be a colossal 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 integrated on the finish of every bankruptcy, thereby protecting lots of the significant advances within the final two decades. Professor Biggs' easy 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 resembling adjacency matrix and the prevalence matrix and their purposes are mentioned intensive. There follows an in depth account of the idea of chromatic polynomials, a subject matter 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. right here there are very important connections with different branches of algebraic combinatorics and workforce idea. This new and enlarged variation it will be crucial analyzing for a variety of mathematicians, machine scientists and theoretical physicists.

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Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs

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