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Phase Transition in the Number Partitioning Problem | Stephan Mertens
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6 Jul 1998 | Journal: | Phys.Rev.Lett. 81, 4281 (1998) | Subject: | Condensed Matter; Adaptation and Self-Organizing Systems | cond-mat adap-org nlin.AO | Affiliation: | Otto-von-Guericke Universitat, Magdeburg | Abstract: | Number partitioning is an NP-complete problem of combinatorial optimization. A statistical mechanics analysis reveals the existence of a phase transition that separates the easy from the hard to solve instances and that reflects the pseudo-polynomiality of number partitioning. The phase diagram and the value of the typical ground state energy are calculated. | Source: | arXiv, cond-mat/9807077 | Services: | Forum | Review | PDF | Favorites |
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