Phase Transitions and Computational Difficulty in Random Constraint Satisfaction Problems

@article{Krzakala2007PhaseTA,
  title={Phase Transitions and Computational Difficulty in Random Constraint Satisfaction Problems},
  author={Florent Krzakala and Lenka Zdeborov{\'a}},
  journal={ArXiv},
  year={2007},
  volume={abs/0711.0110}
}
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. 
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