Title
Simulated Annealing and Its Problems to Color Graphs
Abstract
Simulated Annealing is a very successful heuristic for various problems in combinatorial optimization. In this paper an application of Simulated Annealing to the 3-coloring problem is considered. In contrast to many good empirical results we will show for a certain class of graphs, that the expected first hitting time of a proper coloring, given an arbitrary cooling scheme, is of exponential size. Furthermore a new proof of the convergence of Simulated Annealing with a logarithmic cooling schedule by considering the conductance of the underlying transition graph is given. With this proof technique it is possible to show that Simulated Annealing converges to an optimal solution in exponential time.
Year
DOI
Venue
1996
10.1007/3-540-61680-2_52
ESA
Keywords
Field
DocType
simulated annealing,color graphs,combinatorial optimization
Simulated annealing,Convergence (routing),Combinatorics,Heuristic,Exponential function,Computer science,Adaptive simulated annealing,Combinatorial optimization,Logarithm,Hitting time
Conference
ISBN
Citations 
PageRank 
3-540-61680-2
2
0.45
References 
Authors
11
2
Name
Order
Citations
PageRank
Andreas Nolte1132.16
Rainer Schrader220.45