The structure of pairing strategies for k-in-a-row type games

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
DOI: https://doi.org/10.14232/actacyb.23.2.2017.8
Uncontrolled Keywords: Játékelmélet, Kombinatorika, Hipergráf, Pozicionált játék, Párosítási stratégiák, Számítástechnika, Kibernetika
Additional Information: Illusztrációval ; Bibliogr.: 572. p.
Date Deposited: 2018. Feb. 13. 09:45
Last Modified: 2018. Jun. 07. 14:28
URI: http://acta.bibl.u-szeged.hu/id/eprint/50088

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