Combinatorial Matrix Classes by Richard A. Brualdi
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Combinatorial Matrix Classes
By Richard A. Brualdi

Combinatorial Matrix Classes

By (author) See other recent books by Richard A. Brualdi
Series edited by G.-C. Rota See other recent books by G.-C. Rota See other recent books by B. Doran
Format: Hardback

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Combinatorial Matrix Classes by Richard A. Brualdi

Book 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, tournaments with a specified score sequence), nonnegative matrices with specified row and column sums, and doubly stochastic matrices. Most of this material is presented for the first time in book format and the chapter on doubly stochastic matrices provides the most complete development of the topic to date.

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Book Details

ISBN: 9780521865654
ISBN-10: 0521865654
Format: Hardback
(228mm x 152mm x 33mm)
Pages: 554
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Aug-2006
Country of Publication: United Kingdom

Books By Author Richard A. Brualdi

Combinatorial Matrix Theory by Richard A. Brualdi Combinatorial Matrix Theory, Paperback (January 2014)

This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory.

Matrices of Sign-solvable Linear Systems by Richard A. Brualdi Matrices of Sign-solvable Linear Systems, Paperback (April 2009)

The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book.

» View all books by Richard A. Brualdi

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Author Biography - Richard A. Brualdi

Richard A. Brualdi is UWF Beckwith Bascom Professor of Mathematics at the University of Wisconsin, Madison.

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