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Phase transitions and computational difficulty in random constraint satisfaction problems

F Krząkała1 and L Zdeborová

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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.


PACS

75.10.Nr Spin-glass and other random models

75.10.Hk Classical spin models

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

64.70.P- Glass transitions of specific systems

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 1 (2008)



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