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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.14719 |
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| _version_ | 1866910794884579328 |
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| author | Wrochna, Marcin |
| author_facet | Wrochna, Marcin |
| contents | We show a slightly simpler proof the following theorem by I. Dinur, O. Regev, and C. Smyth: for all $c \geq 2$, it is NP-hard to find a $c$-colouring of a 2-coloruable 3-uniform hypergraph. We recast this result in the algebraic framework for Promise CSPs, using only a weaker version of the PCP theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_14719 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on hardness of promise hypergraph colouring Wrochna, Marcin Discrete Mathematics We show a slightly simpler proof the following theorem by I. Dinur, O. Regev, and C. Smyth: for all $c \geq 2$, it is NP-hard to find a $c$-colouring of a 2-coloruable 3-uniform hypergraph. We recast this result in the algebraic framework for Promise CSPs, using only a weaker version of the PCP theorem. |
| title | A note on hardness of promise hypergraph colouring |
| topic | Discrete Mathematics |
| url | https://arxiv.org/abs/2205.14719 |