Generalized Harary games
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 alte...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
1997
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| Sorozat: | Acta cybernetica
13 No. 1 |
| Kulcsszavak: | Számítástechnika, Kibernetika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/12580 |
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| 245 | 1 | 0 | |a Generalized Harary games |h [elektronikus dokumentum] / |c Pluhár András |
| 260 | |c 1997 | ||
| 300 | |a 77-83 | ||
| 490 | 0 | |a Acta cybernetica |v 13 No. 1 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Számítástechnika, Kibernetika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/12580/1/cybernetica_013_numb_001_077-083.pdf |z Dokumentum-elérés |