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Simplifying Random Satisfiability Problem by Removing Frustrating Interactions

A. Ramezanpour·S. Moghimi-Araghi
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Abstract

How can we remove some interactions 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 provide directly the solutions of the original problem.

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BibTeXRIS

A. Ramezanpour, S. Moghimi-Araghi. 2006-06-06. Simplifying Random Satisfiability Problem by Removing Frustrating Interactions. https://doi.org/10.1103/physreve.74.041105

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