Combinatorial Matrix Theory

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Combinatorial Matrix Theory

Combinatorial Matrix Theory

Name: Combinatorial Matrix Theory
ISBN: 9780521322652

Richard A. Brualdi, Herbert J. Ryser

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The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic characterizations of combinatorical properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jorda Canonical Form.

カテゴリー:

Mathematics - Algebra

年:

1991

出版社:

Cambridge University Press

言語:

english

ページ:

377

ISBN 10:

0521322650