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Phase Transitions and Computational Difficulty in Random Constraint Satisfaction Problems (0711.0110v1)
Published 1 Nov 2007 in cs.CC and cond-mat.stat-mech
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 of the physicists. 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.