On the Mod-6 Town Rules
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910315816419328 |
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| author | Vishwanathan, Sundar |
| author_facet | Vishwanathan, Sundar |
| contents | This note presents an upper bound of $1.252 n$ on the size of a set system that satisfies the mod-6 town rules. Under these rules the sizes of the sets are not congruent to $0\bmod 6$ while the sizes of all pairwise intersections are congruent to $ 0\bmod 6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17112 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Mod-6 Town Rules Vishwanathan, Sundar Combinatorics Discrete Mathematics 05D40 This note presents an upper bound of $1.252 n$ on the size of a set system that satisfies the mod-6 town rules. Under these rules the sizes of the sets are not congruent to $0\bmod 6$ while the sizes of all pairwise intersections are congruent to $ 0\bmod 6$. |
| title | On the Mod-6 Town Rules |
| topic | Combinatorics Discrete Mathematics 05D40 |
| url | https://arxiv.org/abs/2401.17112 |