Hiding Quiet Solutions in Random Constraint Satisfaction Problems

Details Hiding Quiet Solutions in Random Constraint Satisfaction Problems Hiding Quiet Solutions in Random Constraint Satisfaction Problems

2009-01-14

arxiv.org/abs/0901.2130v2

Phys. Rev. Lett. 102, 238701 (2009)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.102.238701

We study constraint satisfaction problems on the so-called 'planted' random ensemble. We show that for a certain class of problems, e.g. graph coloring, many of the properties of the usual random ensemble are quantitatively identical in the planted random ensemble. We study the structural phase transitions, and the easy/hard/easy pattern in the average computational complexity. We also discuss the finite temperature phase diagram, finding a close connection with the liquid/glass/solid phenomenology.

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