| Combinatorial Matrix Theory Contributor(s): Brualdi, Richard A. (Author), Ryser, Herbert J. (Author) |
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ISBN: 1107662605 ISBN-13: 9781107662605 Publisher: Cambridge University Press OUR PRICE: $63.64 Product Type: Paperback - Other Formats Published: January 2014 |
| Additional Information |
| BISAC Categories: - Mathematics | Discrete Mathematics - Mathematics | Matrices - Mathematics | Algebra - General |
| Dewey: 512.943 |
| Series: Encyclopedia of Mathematics and Its Applications |
| Physical Information: 0.78" H x 6" W x 9" (1.11 lbs) 378 pages |
| 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. |