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The Satisfiability Threshold of Random 3-SAT Is at Least 3.52

MohammadTaghi Hajiaghayi·Gregory B. Sorkin
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Abstract

We prove that a random 3-SAT instance with clause-to-variable density less than 3.52 is satisfiable with high probability. The proof comes through an algorithm which selects (and sets) a variable depending on its degree and that of its complement.

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MohammadTaghi Hajiaghayi, Gregory B. Sorkin. 2003-10-22. The Satisfiability Threshold of Random 3-SAT Is at Least 3.52. https://arxiv.org/abs/math/0310193

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