| Combinatorial Matrix Theory Contributor(s): Brualdi, Richard A. (Author), Ryser, Herbert J. (Author) |
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ISBN: 1107325706 ISBN-13: 9781107325708 Publisher: Cambridge University Press OUR PRICE: $156.75 Product Type: Open Ebook - Other Formats Published: May 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Discrete Mathematics - Mathematics | Matrices |
| Dewey: 512.943 |
| Series: Encyclopedia of Mathematics and Its Applications |
| Descriptions, Reviews, Etc. |
| Publisher 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. |