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Simplifying Random Satisfiability Problem by Removing Frustrating Interactions | A. Ramezanpour
; S. Moghimi-Araghi
; | Date: |
6 Jun 2006 | Subject: | Statistical Mechanics; Computational Complexity | 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. | Source: | arXiv, cond-mat/0606128 | Services: | Forum | Review | PDF | Favorites |
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