Generalized Harary games

Pluhár András: Generalized Harary games. In: Acta cybernetica, (13) 1. pp. 77-83. (1997)

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There are a number of positional games known on the infinite chessboard. One of the most studied is the 5-in-a-row, whose rules are almost identical to the ancient Japanese Go-Moku. Along this line Harary asked if a player can achieve a translated copy of a given polymino P when the two players alternately take the squares of the board. Here we pose his question for general subsets of the board, and give a condition under which a draw is possible. Since a drawing strategy corresponds to a good 2-coloration of the underlying hypergraph, our result can be viewed as a derandomization of the Lovász Local Lemma.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 1997
Volume: 13
Number: 1
ISSN: 0324-721X
Page Range: pp. 77-83
Language: English
Place of Publication: Szeged
Related URLs:
Uncontrolled Keywords: Számítástechnika, Kibernetika
Additional Information: Bibliogr.: p. 82-83. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2016. Oct. 15. 12:26
Last Modified: 2022. Jun. 13. 15:20

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