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A better algorithm for random κ-SAT

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN: 0302-9743, Vol: 5555 LNCS, Issue: PART 1, Page: 292-303
2009
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Conference Paper Description

Let Φ 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 Φ with high probability for constraint densities , where ε →0. Previously no efficient algorithm was known to find solutions with non-vanishing probability beyond m/n=1.817•2 /k [Frieze and Suen, Journal of Algorithms 1996]. © 2009 Springer Berlin Heidelberg.

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