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Simulated Annealing and Graph Colouring

Published online by Cambridge University Press:  12 April 2001

ANDREAS NOLTE  and
RAINER SCHRADER
ANDREAS NOLTE
Affiliation:
Universität zu Köln, Weyertal 80, 50931 Köln, Germany (e-mail: [email protected], [email protected])
RAINER SCHRADER
Affiliation:
Universität zu Köln, Weyertal 80, 50931 Köln, Germany (e-mail: [email protected], [email protected])
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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-colouring 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 colouring, given an arbitrary cooling scheme, is of exponential size.

These results are complementary to those in [13], where we prove the convergence of simulated annealing to an optimal solution in exponential time.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 10 , Issue 1 , January 2001 , pp. 29 - 40
Copyright
2001 Cambridge University Press

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Footnotes

Extended version of [14].