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An evolutionary approach for bandwidth multicoloring problems

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  • Malaguti, Enrico
  • Toth, Paolo

Abstract

In this paper we consider some generalizations of the vertex coloring problem, where distance constraints are imposed between adjacent vertices (bandwidth coloring problem) and each vertex has to be colored with more than one color (bandwidth multicoloring problem). We propose an evolutionary metaheuristic approach for the first problem, combining an effective tabu search algorithm with population management procedures. The approach can be applied to the second problem as well, after a simple transformation. Computational results on instances from the literature show that the overall algorithm is able to produce high quality solutions in a reasonable amount of time, outperforming the most effective algorithms proposed for the bandwidth coloring problem, and improving the best known solution of many instances of the bandwidth multicoloring problem.

Suggested Citation

  • Malaguti, Enrico & Toth, Paolo, 2008. "An evolutionary approach for bandwidth multicoloring problems," European Journal of Operational Research, Elsevier, vol. 189(3), pages 638-651, September.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:3:p:638-651
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    1. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1991. "Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning," Operations Research, INFORMS, vol. 39(3), pages 378-406, June.
    2. Philippe Galinier & Jin-Kao Hao, 1999. "Hybrid Evolutionary Algorithms for Graph Coloring," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 379-397, December.
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    Cited by:

    1. Sinjorgo, Lennart & Sotirov, Renata, 2022. "On the generalized ϑ-number and related problems for highly symmetric graphs," Other publications TiSEM 82d3dc18-0258-4f07-9b7f-d, Tilburg University, School of Economics and Management.

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