A Note on Polychromatic Colorings of Shift-Chains
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911874264596480 |
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| author | Ueckerdt, Torsten |
| author_facet | Ueckerdt, Torsten |
| contents | We popularize the question whether, for $m$ large enough, all $m$-uniform shift-chain hypergraphs are properly $2$-colorable. On the other hand, we show that for every $m$ some $m$-uniform shift-chains are not polychromatic $3$-colorable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05296 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Note on Polychromatic Colorings of Shift-Chains Ueckerdt, Torsten Combinatorics Discrete Mathematics We popularize the question whether, for $m$ large enough, all $m$-uniform shift-chain hypergraphs are properly $2$-colorable. On the other hand, we show that for every $m$ some $m$-uniform shift-chains are not polychromatic $3$-colorable. |
| title | A Note on Polychromatic Colorings of Shift-Chains |
| topic | Combinatorics Discrete Mathematics |
| url | https://arxiv.org/abs/2405.05296 |