title: Simplifying random satisfiability problems by removing frustrating interactions.
abstract: How can we remove some interactions (generate shorter clauses) in a constraint satisfaction problem (CSP) such that it still remains satisfiable? In this paper we study a modified survey propagation algorithm that enables us to address this question for a prototypical CSP, i.e., random K-satisfiability problem. The average number of removed interactions is controlled by a tuning parameter in the algorithm. If the original problem is satisfiable then we are able to construct satisfiable subproblems ranging from the original one to a minimal one with minimum possible number of interactions. The minimal satisfiable subproblems will directly provide the solutions of the original problem.
authors.affiliation: Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran. ramezanpour@iasbs.ac.ir
authors.forename: A
authors.initials: A
authors.lastname: Ramezanpour
authors.forename: S
authors.initials: S
authors.lastname: Moghimi-Araghi