We introduce two incomplete polynomial time algorithms to solve satisfiability problems which both use Linear Programming (LP) techniques. First, the FlipFlop LP attempts to simul...
With random inputs, certain decision problems undergo a “phase transition”. We prove similar behavior in an optimization context. Given a conjunctive normal form (CNF) formula...
Don Coppersmith, David Gamarnik, Mohammad Taghi Ha...
It is well known that satisfiability of random sets of propositional clauses undergoes phase transition while the clause-to-variable ratio of the sets increases. We introduce anot...
Abstract. This paper presents an experimental investigation of the following questions: how does the averagecase complexity of random 3-SAT, understood as a function of the order (...
Cristian Coarfa, Demetrios D. Demopoulos, Alfonso ...
We describe a detailed experimental investigation of the phase transition for several different classes of randomly generated satisfiability problems. We observe a remarkable consi...