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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Encyclopedia of Mathematics and its Applications |
Release date: |
August 2006 |
First published: |
2006 |
Authors: |
Richard A. Brualdi
|
Dimensions: |
239 x 165 x 33mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
554 |
Edition: |
New |
ISBN-13: |
978-0-521-86565-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-521-86565-4 |
Barcode: |
9780521865654 |
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