Győrffy Lajos and London András and Makay Géza: The structure of pairing strategies for k-in-a-row type games. In: Acta cybernetica, (23) 2. pp. 561-572. (2017)
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Abstract
In Maker-Breaker positional games two players, Maker and Breaker, play on a finite or infinite board with the goal of claiming or preventing the opponent from getting a finite winning set, respectively. For different games there are several winning strategies for Maker or Breaker. One class of winning strategies is the so-called pairing (paving) strategies. Here, we describe all possible pairing strategies for the 9-in-a-row game. Furthermore, we define a graph of the pairings, containing 194,543 vertices and 532,107 edges, in order to give them a structure. A complete characterization of the graph is also given.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2017 |
| Volume: | 23 |
| Number: | 2 |
| ISSN: | 0324-721X |
| Page Range: | pp. 561-572 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/50022/ |
| DOI: | 10.14232/actacyb.23.2.2017.8 |
| Uncontrolled Keywords: | Játékelmélet, Kombinatorika, Hipergráf, Számítástechnika, Kibernetika |
| Additional Information: | Bibliogr.: 572. p. ; ill. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2018. Feb. 13. 09:45 |
| Last Modified: | 2022. Jun. 20. 14:55 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/50088 |
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