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- W2004804919 abstract "We study the APPROXCOLORING q(Q) problem: Given a graph G, decide whether χ(G) ≤ q or χ(G) ≥ Q. We derive conditional hardness for this problem for any constant 3 ≤ q 0, assuming Khot's Unique Games conjecture. This is the problem of deciding for a given graph, between the case where one can 3-color all but a e fraction of the vertices without monochromatic edges, and the case where the graph contains no independent set of relative size at least e.Our result is based on bounding various generalized noise-stability quantities using the invariance principle of Mossel et al [MOO'05]." @default.
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- W2004804919 date "2006-01-01" @default.
- W2004804919 modified "2023-10-18" @default.
- W2004804919 title "Conditional hardness for approximate coloring" @default.
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- W2004804919 doi "https://doi.org/10.1145/1132516.1132567" @default.
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