Combinatorial matrix classes:
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 significan...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 108 |
| Links: | https://doi.org/10.1017/CBO9780511721182 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (x, 544 Seiten) |
| ISBN: | 9780511721182 |
Internformat
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| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 108 | |
| 520 | |a 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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| indexdate | 2025-03-19T15:54:03Z |
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| isbn | 9780511721182 |
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| spelling | Brualdi, Richard A. Combinatorial matrix classes Richard A. Brualdi Cambridge Cambridge University Press 2006 1 Online-Ressource (x, 544 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 108 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. Erscheint auch als Druck-Ausgabe 9780521865654 |
| spellingShingle | Brualdi, Richard A. Combinatorial matrix classes |
| title | Combinatorial matrix classes |
| title_auth | Combinatorial matrix classes |
| title_exact_search | Combinatorial matrix classes |
| title_full | Combinatorial matrix classes Richard A. Brualdi |
| title_fullStr | Combinatorial matrix classes Richard A. Brualdi |
| title_full_unstemmed | Combinatorial matrix classes Richard A. Brualdi |
| title_short | Combinatorial matrix classes |
| title_sort | combinatorial matrix classes |
| work_keys_str_mv | AT brualdiricharda combinatorialmatrixclasses |