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2008 IEEE 23rd Annual Conference on Computational Complexity
Approximation Resistant Predicates from Pairwise Independence
June 22-June 26
ISBN: 978-0-7695-3169-4
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.
Index Terms:
Max k-CSP, Unique Games Conjecture, Approximation Resistance, Pairwise Independence
Citation:
Per Austrin, Elchanan Mossel, "Approximation Resistant Predicates from Pairwise Independence," ccc, pp.249-258, 2008 IEEE 23rd Annual Conference on Computational Complexity, 2008
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