Hiding Quiet Solutions in Random Constraint Satisfaction Problems
Statistical Mechanics
2009-06-13 v2 Disordered Systems and Neural Networks
Artificial Intelligence
Computational Complexity
Abstract
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.
Cite
@article{arxiv.0901.2130,
title = {Hiding Quiet Solutions in Random Constraint Satisfaction Problems},
author = {Florent Krzakala and Lenka Zdeborová},
journal= {arXiv preprint arXiv:0901.2130},
year = {2009}
}
Comments
4 pages, 3 figures