Approximation Resistant Predicates From Pairwise Independence

Per Austrin; Elchanan Mossel

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arXiv · 0802.2300

Approximation Resistant Predicates From Pairwise Independence

Per Austrin·Elchanan Mossel

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Abstract

We study the approximability of predicates on $k$ variables from a domain $[q]$, and give a new sufficient condition for such predicates to be approximation resistant under the Unique Games Conjecture. Specifically, we show that a predicate $P$ is approximation resistant if there exists a balanced pairwise independent distribution over $[q]^k$ whose support is contained in the set of satisfying assignments to $P$.

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Per Austrin, Elchanan Mossel. 2008-02-15. Approximation Resistant Predicates From Pairwise Independence. https://arxiv.org/abs/0802.2300

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