ENGLISH

Combinatorial Matrix Theory

By Richard A. Brualdi , Herbert J. Ryser

Book information

Publisher
Cambridge University Press
Year
1991
ISBN
0521322650, 9780521322652
LCC
QA188 .B78 1991
Open Library ID
OL1862530M
Language
english
Format
DJVU
Filesize
3 MB (3290159 bytes)
Series
Encyclopedia of Mathematics and its Applications volume 39
Pages
377\377
Time added
2012-03-09 12:00:00

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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