Exhaustive enumeration unveils clustering and freezing in random 3-SAT

Details Exhaustive enumeration unveils clustering and freezing in random 3-SAT Exhaustive enumeration unveils clustering and freezing in random 3-SAT

2008-04-02

arxiv.org/abs/0804.0362v2

Phys. Rev. E 78, 040101(R) (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.78.040101

We study geometrical properties of the complete set of solutions of the random 3-satisfiability problem. We show that even for moderate system sizes the number of clusters corresponds surprisingly well with the theoretic asymptotic prediction. We locate the freezing transition in the space of solutions which has been conjectured to be relevant in explaining the onset of computational hardness in random constraint satisfaction problems.

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