Locked constraint satisfaction problems

Details Locked constraint satisfaction problems Locked constraint satisfaction problems

2008-03-20

arxiv.org/abs/0803.2955v2

Phys. Rev. Lett. 101, 078702 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.101.078702

We introduce and study the random "locked" constraint satisfaction problems. When increasing the density of constraints, they display a broad "clustered" phase in which the space of solutions is divided into many isolated points. While the phase diagram can be found easily, these problems, in their clustered phase, are extremely hard from the algorithmic point of view: the best known algorithms all fail to find solutions. We thus propose new benchmarks of really hard optimization problems and provide insight into the origin of their typical hardness.

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