Read e-book online Combinatorial Matrix Classes (Encyclopedia of Mathematics PDF

By Richard A. Brualdi

ISBN-10: 0521865654

ISBN-13: 9780521865654

A usual sequel to the author's prior ebook Combinatorial Matrix concept written with H. J. Ryser, this is often the 1st booklet committed completely to lifestyles questions, confident algorithms, enumeration questions, and different homes touching on periods of matrices of combinatorial importance. a number of sessions of matrices are completely built together with the periods of matrices of 0's and 1's with a distinct variety of 1's in each one row and column (equivalently, bipartite graphs with a targeted measure sequence), symmetric matrices in such sessions (equivalently, graphs with a special measure sequence), event matrices with a specific variety of 1's in every one row (equivalently, tournaments with a exact ranking sequence), nonnegative matrices with certain row and column sums, and doubly stochastic matrices. such a lot of this fabric is gifted for the 1st time in ebook structure and the bankruptcy on doubly stochastic matrices presents the main whole improvement of the subject to date.

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Combinatorial Matrix Classes (Encyclopedia of Mathematics and its Applications) by Richard A. Brualdi

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