Title
Relaxation in graph coloring and satisfiability problems
Abstract
Using T=0 Monte Carlo simulation, we study the relaxation of graph coloring (K-COL) and satisfiability (K-SAT), two hard problems that have recently been shown to possess a phase transition in solvability as a parameter is varied. A change from exponentially fast to power law relaxation, and a transition to freezing behavior are found. These changes take place for smaller values of the parameter than the solvability transition. Results for the coloring problem for colorable and clustered graphs and for the fraction of persistent spins for satisfiability are also presented.
Year
DOI
Venue
1998
10.1103/PhysRevE.59.3983
PHYSICAL REVIEW E
Keywords
Field
DocType
col,power law,monte carlo simulation,graph coloring,phase transition,satisfiability
Spins,Discrete mathematics,Graph,Combinatorics,Monte Carlo method,Phase transition,Satisfiability,Power law,Mathematics,Graph coloring,Coloring problem
Journal
Volume
Issue
ISSN
59
4
2470-0045
Citations 
PageRank 
References 
7
0.58
2
Authors
2
Name
Order
Citations
PageRank
Pontus Svenson114922.31
Mats G. Nordahl217243.97