The Satisfiability Threshold of Random 3-SAT Is at Least 3.52
Author(s) •
Hajiaghayi, MohammadTaghi
Sorkin, Gregory B.
Date Issued
November 20, 2003
Series/Report no.
Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory
Abstract
We prove that a random 3-SAT instance with clause-to-variable densityless than 3.52 is satisfiable with high probability.The proof comes through an algorithm which selects (and sets) a variabledepending on its degree and that of its complement.
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