Title
Clustering Of Solutions In The Random Satisfiability Problem
Abstract
Using elementary rigorous methods we prove the existence of a clustered phase in the random K-SAT problem, for K >= 8. In this phase the solutions are grouped into clusters which are far away from each other. The results are in agreement with previous predictions of the cavity method and give a rigorous confirmation to one of its main building blocks. It can be generalized to other systems of both physical and computational interest.
Year
DOI
Venue
2005
10.1103/PhysRevLett.94.197205
PHYSICAL REVIEW LETTERS
Keywords
Field
DocType
numerical simulation,satisfiability,spin glass
Statistical physics,Cluster (physics),Boolean satisfiability problem,Cavity method,Cluster analysis,Condensed matter physics,Physics
Journal
Volume
Issue
ISSN
94
19
0031-9007
Citations 
PageRank 
References 
53
3.11
2
Authors
3
Name
Order
Citations
PageRank
Marc Mézard159039.09
thierry mora2533.11
riccardo zecchina363755.46