Relaxation in graph coloring and satisfiability problems

Pontus Svenson, Mats G. Nordahl
1999 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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
more » ... and for the fraction of persistent spins for satisfiability are also presented.
doi:10.1103/physreve.59.3983 fatcat:euqefribgndudfkwztn3xte6yy