Who Wins Domineering on Rectangular Boards?
Combinatorics
2007-05-23 v2
Abstract
Using 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.
Cite
@article{arxiv.math/0006066,
title = {Who Wins Domineering on Rectangular Boards?},
author = {Michael Lachmann and Cristopher Moore and Ivan Rapaport},
journal= {arXiv preprint arXiv:math/0006066},
year = {2007}
}