Investigations in Algebraic Theory of Combinatorial Objects:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications, Soviet Series
84 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed |
| Beschreibung: | 1 Online-Ressource (XII, 510 p) |
| ISBN: | 9789401719728 9789048141951 |
| ISSN: | 0169-6378 |
| DOI: | 10.1007/978-94-017-1972-8 |
Internformat
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| 490 | 0 | |a Mathematics and Its Applications, Soviet Series |v 84 |x 0169-6378 | |
| 500 | |a X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
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| isbn | 9789401719728 9789048141951 |
| issn | 0169-6378 |
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| spelling | Faradžev, I. A. Verfasser aut Investigations in Algebraic Theory of Combinatorial Objects edited by I. A. Faradžev, A. A. Ivanov, M. H. Klin, A. J. Woldar Dordrecht Springer Netherlands 1994 1 Online-Ressource (XII, 510 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications, Soviet Series 84 0169-6378 X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed Mathematics Group theory Combinatorics Group Theory and Generalizations Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Kombinatorik (DE-588)4031824-2 s Algebra (DE-588)4001156-2 s 2\p DE-604 Ivanov, A. A. Sonstige oth Klin, Mikhail 1946- Sonstige (DE-588)110653238 oth Woldar, A. J. Sonstige oth https://doi.org/10.1007/978-94-017-1972-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Faradžev, I. A. Investigations in Algebraic Theory of Combinatorial Objects Mathematics Group theory Combinatorics Group Theory and Generalizations Mathematik Algebra (DE-588)4001156-2 gnd Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4031824-2 (DE-588)4143413-4 |
| title | Investigations in Algebraic Theory of Combinatorial Objects |
| title_auth | Investigations in Algebraic Theory of Combinatorial Objects |
| title_exact_search | Investigations in Algebraic Theory of Combinatorial Objects |
| title_full | Investigations in Algebraic Theory of Combinatorial Objects edited by I. A. Faradžev, A. A. Ivanov, M. H. Klin, A. J. Woldar |
| title_fullStr | Investigations in Algebraic Theory of Combinatorial Objects edited by I. A. Faradžev, A. A. Ivanov, M. H. Klin, A. J. Woldar |
| title_full_unstemmed | Investigations in Algebraic Theory of Combinatorial Objects edited by I. A. Faradžev, A. A. Ivanov, M. H. Klin, A. J. Woldar |
| title_short | Investigations in Algebraic Theory of Combinatorial Objects |
| title_sort | investigations in algebraic theory of combinatorial objects |
| topic | Mathematics Group theory Combinatorics Group Theory and Generalizations Mathematik Algebra (DE-588)4001156-2 gnd Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Mathematics Group theory Combinatorics Group Theory and Generalizations Mathematik Algebra Kombinatorik Aufsatzsammlung |
| url | https://doi.org/10.1007/978-94-017-1972-8 |
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