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

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

By: MohammadTaghi Hajiaghayi, Gregory B. Sorkin

Published in: RC22942 in 2003


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