High Temperature Domineering Positions
Combinatorics
2024-08-30 v1
Abstract
Domineering is a partizan game where two players have a collection of dominoes which they place on the grid in turn, covering up squares. One player places tiles vertically, while the other places them horizontally; the first player who cannot move loses. It has been conjectured that the highest temperature possible in Domineering is 2. We have developed a program that enables a parallel exhaustive search of Domineering positions with temperatures close to or equal to 2 to allow for analysis of such positions
Cite
@article{arxiv.2408.16095,
title = {High Temperature Domineering Positions},
author = {Svenja Huntemann and Tomasz Maciosowski},
journal= {arXiv preprint arXiv:2408.16095},
year = {2024}
}