Improving upper and lower bounds of the number of games born by day 4
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913242125697024 |
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| author | Suetsugu, Koki |
| author_facet | Suetsugu, Koki |
| contents | In combinatorial game theory, the lower and upper bounds of the number of games born by day $4$ have been recognized as $3.0 \cdot 10^{12}$ and $10^{434}$, respectively. In this study, we improve the lower bound to $10^{28.2}$ and the upper bound to $4.0 \cdot 10^{184}$, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13403 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Improving upper and lower bounds of the number of games born by day 4 Suetsugu, Koki Combinatorics 91A46 In combinatorial game theory, the lower and upper bounds of the number of games born by day $4$ have been recognized as $3.0 \cdot 10^{12}$ and $10^{434}$, respectively. In this study, we improve the lower bound to $10^{28.2}$ and the upper bound to $4.0 \cdot 10^{184}$, respectively. |
| title | Improving upper and lower bounds of the number of games born by day 4 |
| topic | Combinatorics 91A46 |
| url | https://arxiv.org/abs/2208.13403 |