Combinatorial Matrix Theory (Encyclopedia of Mathematics and Its Applications, 39)
ISBN-13:
9781107662605
ISBN-10:
1107662605
Edition:
Reprint
Author:
Richard A. Brualdi, Herbert J. Ryser
Publication date:
2014
Publisher:
Cambridge University Press
Format:
Paperback
378 pages
Category:
Applied
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9781107662605
ISBN-10:
1107662605
Edition:
Reprint
Author:
Richard A. Brualdi, Herbert J. Ryser
Publication date:
2014
Publisher:
Cambridge University Press
Format:
Paperback
378 pages
Category:
Applied
,
Mathematics
Summary
Combinatorial Matrix Theory (Encyclopedia of Mathematics and Its Applications, 39) (ISBN-13: 9781107662605 and ISBN-10: 1107662605), written by authors
Richard A. Brualdi, Herbert J. Ryser, was published by Cambridge University Press in 2014.
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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.
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