Combinatorial Matrix Theory (Encyclopedia of Mathematics and Its Applications) (Paperback)

Combinatorial Matrix Theory (Encyclopedia of Mathematics and Its Applications) By Richard A. Brualdi, Herbert J. Ryser Cover Image
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Description


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.


Product Details
ISBN: 9781107662605
ISBN-10: 1107662605
Publisher: Cambridge University Press
Publication Date: January 23rd, 2014
Pages: 378
Language: English
Series: Encyclopedia of Mathematics and Its Applications

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