Title
Threshold behaviors of a random constraint satisfaction problem with exact phase transitions
Abstract
We consider a random constraint satisfaction problem named model RB, which exhibits a sharp satisfiability phase-transition phenomenon when the control parameters pass through the critical values denoted by r"c"r and p"c"r. Using finite-size scaling analysis, we bound the width of the transition region for finite problem size n, which might be the first rigorous study on the threshold behaviors of NP-complete problems.
Year
DOI
Venue
2011
10.1016/j.ipl.2011.07.006
Inf. Process. Lett.
Keywords
Field
DocType
rigorous study,threshold behavior,model rb,exact phase transition,control parameter,finite-size scaling analysis,critical value,np-complete problem,sharp satisfiability phase-transition phenomenon,finite problem size n,random constraint satisfaction problem,computational complexity,np complete problem,phase transition,constraint satisfaction problem,satisfiability
Discrete mathematics,Combinatorics,Phase transition,Satisfiability,Constraint satisfaction problem,Phenomenon,Scaling,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
111
20
0020-0190
Citations 
PageRank 
References 
3
0.38
8
Authors
2
Name
Order
Citations
PageRank
Chunyan Zhao131.06
Zhiming Zheng212816.80