Who Wins Domineering on Rectangular Boards?

Details Who Wins Domineering on Rectangular Boards? Who Wins Domineering on Rectangular Boards?

2000-06-08

arxiv.org/abs/math/0006066v2

MSRI Workshop on Combinatorial Games 2000

Mathematics

Combinatorics

Scientific paper

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.

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