Who Wins Domineering on Rectangular Boards?
AbstractUsing mostly elementary considerations, we find out who wins the game of Domineering on all rectangular boards of width 2, 3, 5, and 7. We obtain bounds on other boards as well, and prove the existence of polynomial-time strategies for playing on all boards of width 2, 3, 4, 5, 7, 9, and 11. We also comment briefly on toroidal and cylindrical boards.
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Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 00-04-025.
Date of creation: Apr 2000
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Combinatorial games; dominoes.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2000-06-12 (All new papers)
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