Download e-book for iPad: Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs

By Norman Biggs

ISBN-10: 052120335X

ISBN-13: 9780521203357

ISBN-10: 0521458978

ISBN-13: 9780521458979

this can be 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. a good number of 'Additional effects' are integrated on the finish of every bankruptcy, thereby overlaying many of the significant advances within the final two decades. Professor Biggs' simple objective is still to specific houses 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 examine of graphs; algebraic buildings equivalent to adjacency matrix and the prevalence matrix and their functions are mentioned extensive. There follows an in depth account of the speculation 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. the following there are vital connections with different branches of algebraic combinatorics and staff conception. This new and enlarged variation this can be crucial examining 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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