Format:
1 Online-Ressource (x, 544 pages)
,
digital, PDF file(s).
ISBN:
9780511721182
Series Statement:
Encyclopedia of mathematics and its applications volume 108
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
,
1. Introduction -- 2. Basic existence theorems for matrices with prescribed properties -- 3. The class A(R, S) of (0,1)-matrices -- 4. More on the class A(R, S) of (0,1)-matrices -- 5. The class T(R) of tournament matrices -- 6. Interchange graphs -- 7. Classes of symmetric integral matrices -- 8. Convex polytopes of matrices -- 9. Doubly stochastic matrices.
Additional Edition:
ISBN 9780521865654
Additional Edition:
ISBN 9780521865654
Additional Edition:
Erscheint auch als Brualdi, Richard A., 1939 - Combinatorial matrix classes Cambridge [u.a.] : Cambridge University Press, 2006 ISBN 0521865654
Additional Edition:
ISBN 9780521865654
Additional Edition:
Print version ISBN 9780521865654
Language:
English
Subjects:
Mathematics
Keywords:
Kombination
;
Matrix
DOI:
10.1017/CBO9780511721182
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