Combinatorial Matrix Classes
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Combinatorial Matrix Classes by Richard A. Brualdi
Book DescriptionA 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 DetailsISBN: 9780521865654
(228mm x 152mm x 33mm)
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, Paperback (January 2014)
This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory.
Matrices of Sign-solvable Linear Systems, Paperback (April 2009)View all books by Richard A. Brualdi
The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book.
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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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