Combinatorial Matrix Classes

By:

Richard A. Brualdi

Format:

Hardback

Series:

Encyclopedia of Mathematics and Its Applications

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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, 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.

Author Biography:

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

Release date NZ

August 10th, 2006

Author

Richard A. Brualdi

Audience

Professional & Vocational

Illustrations

4 Tables, unspecified

Pages

554

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

165x239x33

ISBN-13

9780521865654

Product ID

2074081

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