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arXiv · 0902.3583

A better algorithm for random k-SAT

Amin Coja-Oghlan
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Abstract

Let F be a uniformly distributed random k-SAT formula with n variables and m clauses. We present a polynomial time algorithm that finds a satisfying assignment of F with high probability for constraint densities m/n<(1-eps_k)2^k\ln(k)/k, where eps_k->0. Previously no efficient algorithm was known to find solutions with non-vanishing probability beyond m/n=1.817.2^k/k [Frieze and Suen, J. of Algorithms 1996].

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Amin Coja-Oghlan. 2009-02-20. A better algorithm for random k-SAT. https://doi.org/10.1137/09076516x

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