Combinatorial Matrix Theory

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Cambridge University Press, Jul 26, 1991 - Mathematics - 367 pages
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This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves.
 

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Contents

Incidence Matrices
1
Matrices and Graphs
23
Matrices and Digraphs
53
Matrices and Bipartite Graphs
107
Some Special Graphs
145
Existence Theorems
164
The Permanent
198
Latin Squares
250
Combinatorial Matrix Algebra
291
Master Reference List
345
Index
363
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Multilinear Algebra
Russell Merris
Limited preview - 1997
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