Mean-field theory for optimization problems
- 1 January 1985
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 46 (17) , 763-770
- https://doi.org/10.1051/jphyslet:019850046017076300
Abstract
A mean-field theory for optimization problems of the Travelling Salesman type, or of the Matching type, is presented. It involves an infinite set of order parameters which measure the lack of self-averageness of the system and its degree of freezing. We further conjecture that NP-completeness is associated with replica symmetry breakingKeywords
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