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

By Norman Biggs

ISBN-10: 052120335X

ISBN-13: 9780521203357

ISBN-10: 0521458978

ISBN-13: 9780521458979

it is a huge 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. lots of 'Additional effects' are integrated on the finish of every bankruptcy, thereby protecting lots of the significant advances within the final 20 years. Professor Biggs' uncomplicated target is still to specific homes 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 research of graphs; algebraic buildings reminiscent of adjacency matrix and the prevalence matrix and their functions are mentioned intensive. There follows an in depth account of the idea of chromatic polynomials, a topic which has robust 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 vital connections with different branches of algebraic combinatorics and team idea. This new and enlarged version this can be crucial interpreting for quite a lot of mathematicians, laptop scientists and theoretical physicists.

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Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs

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