Statistical Mechanics of an NP-complete Problem: Subset Sum

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We study statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. The problem is a generalization of the number partitioning problem, which is also an NP-complete problem and has been studied in the physics literature. The asymptotic expressions for the number of solutions are obtained. These results applied to the number partitioning problem as a special case are compared with those which were previously obtained by a different method. We discuss the limit of applicability of the techniques of statistical mechanics to the present problem.
17 pages, 2 figures

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Statistical Mechanics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/17835

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0106125
 http://arxiv.org/abs/cond-mat/0106125
 J. Phys. A: Math. Gen. 34 (2001) 9555-9567
 doi:10.1088/0305-4470/34/44/314

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arXiv