High Temperature Domineering Positions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913484743114752 |
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| author | Huntemann, Svenja Maciosowski, Tomasz |
| author_facet | Huntemann, Svenja Maciosowski, Tomasz |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16095 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High Temperature Domineering Positions Huntemann, Svenja Maciosowski, Tomasz Combinatorics 91A46 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 |
| title | High Temperature Domineering Positions |
| topic | Combinatorics 91A46 |
| url | https://arxiv.org/abs/2408.16095 |