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arXiv · 1106.0120

Analyzing Walksat on random formulas

Amin Coja-Oghlan·Alan Frieze
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Abstract

Let F be a uniformly distributed random k-SAT formula with n variables and m clauses. We prove that the Walksat algorithm from Papadimitriou (FOCS 1991)/Schoning (FOCS 1999) finds a satisfying assignment of F in polynomial time w.h.p. if m/n<ρ2^k/k for a certain constant ρ>0. This is an improvement by a factor of $Θ(k)$ over the best previous analysis of Walksat from Coja-Oghlan, Feige, Frieze, Krivelevich, Vilenchik (SODA 2009).

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Amin Coja-Oghlan, Alan Frieze. 2014-05-16. Analyzing Walksat on random formulas. https://doi.org/10.1137/12090191x

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