A note on hardness of promise hypergraph colouring

Fuente: arXiv
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Autor principal: Wrochna, Marcin
Formato: Preprint
Publicado: 2022
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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