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Phase transitions and computational difficulty in random constraint satisfaction problems

F Krząkała et al 2008 J. Phys.: Conf. Ser. 95 012012 (10pp)   doi: 10.1088/1742-6596/95/1/012012  Help

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F Krząkała1 and L Zdeborová2
1 PCT, UMR Gulliver 7083 CNRS-ESPCI, 10 rue Vauquelin, 75231 Paris, France
1 LPTMS, UMR 8626 CNRS et University Paris-Sud, 91405 Orsay CEDEX, France
E-mail: fk@espci.fr

Abstract. We review the understanding of the random constraint satisfaction problems, focusing on the q-coloring of large random graphs, that has been achieved using the cavity method. We also discuss the properties of the phase diagram in temperature, the connections with the glass transition phenomenology in physics, and the related algorithmic issues.

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