algorithms-optimization / Approximation algorithms

The Approximation Ratio for Boolean Max-k-CSP

How well can an arbitrary boolean constraint satisfaction problem of arity $k$ be approximated in polynomial time? The paper gives a $(k/2^k)$-approximation, improving the previous best constant of $0.626612\,k/2^k$ due to Makarychev and Makarychev.

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How well can an arbitrary boolean constraint satisfaction problem of arity $k$ be approximated in polynomial time? The paper gives a $(k/2^k)$-approximation, improving the previous best constant of $0.626612\,k/2^k$ due to Makarychev and Makarychev.

Removes the constant factor from the previous best guarantee; whether $k/2^k$ is optimal is not settled here.

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