# Beating the random assignment on constraint satisfaction problems of bounded degree

Electronic Colloquium on Computational Complexity (ECCC), Volume 22, 2015.

EI

Abstract:

We show that for any odd $k$ and any instance of the Max-kXOR constraint satisfaction problem, there is an efficient algorithm that finds an assignment satisfying at least a $\frac{1}{2} + \Omega(1/\sqrt{D})$ fraction of constraints, where $D$ is a bound on the number of constraints that each variable occurs in. This improves both quali...More

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