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portada Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications)
Type
Physical Book
Year
2014
Language
English
Pages
378
Format
Paperback
Dimensions
22.9 x 15.2 x 2.0 cm
Weight
0.50 kg.
ISBN13
9781107662605

Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications)

Richard A. Brualdi (Author) · Herbert J. Ryser (Author) · Cambridge University Press · Paperback

Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications) - Brualdi, Richard A. ; Ryser, Herbert J.

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Synopsis "Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications) "

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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