MAX SAT and MAX NAE-SAT are central problems in theoretical computer science. We present an approximation algorithm for MAX NAE-SAT with a conjectured performance guarantee of 0.82...
We introduce a new approach to approximating weighted Max-SAT problems that is based on simplifying a given instance, and then tightening the approximation. First, we relax its str...
Prior algorithms known for exactly solving Max 2-Sat improve upon the trivial upper bound only for very sparse instances. We present new algorithms for exactly solving (in fact, c...
We study the complexity of approximating Max NME3SAT, a variant of Max 3SAT when the instances are guaranteed to not have any mixed clauses, i.e., every clause has either all its ...
We indicate strong non-approximability factors for central problems: N1/4 for Max Clique; N1/10 for Chromatic Number; and 66/65 for Max 3SAT. Underlying the Max Clique result is a...