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Combinatorial Matrix Classes

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ISBN-10: 0521865654

ISBN-13: 9780521865654

Edition: 2006

Authors: Richard A. Brualdi, G. C. Rota, B. Doran, M. Ismail, T. Y. Lam

List price: $201.00
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Description:

A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence questions, constructive algorithms, enumeration questions, and other properties concerning classes of matrices of combinatorial significance. Several classes of matrices are thoroughly developed including the classes of matrices of 0's and 1's with a specified number of 1's in each row and column (equivalently, bipartite graphs with a specified degree sequence), symmetric matrices in such classes (equivalently, graphs with a specified degree sequence), tournament matrices with a specified number of 1's in each row (equivalently,…    
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Book details

List price: $201.00
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 8/10/2006
Binding: Hardcover
Pages: 554
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 2.046
Language: English

Introduction
Basic existence theorems for matrices with prescribed properties
The class A(R; S) of (0,1)-matrices
More on the class A(R; S) of (0,1)-matrices
The class T(R) of tournament matrices
Interchange graphs
Classes of symmetric integral matrices
Convex polytopes of matrices
Doubly stochastic matrices