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Graph coloring by multiagent fusion search

Author

Listed:
  • Xiao-Feng Xie

    (Hong Kong Baptist University)

  • Jiming Liu

    (Hong Kong Baptist University)

Abstract

A multiagent fusion search is presented for the graph coloring problem. In this method, each of agents performs the fusion search, involving a local search working in a primary exploitation role and a recombination search in a navigation role, with extremely limited memory and interacts with others through a decentralized protocol, thus agents are able to explore in parallel as well as to achieve a collective performance. As the knowledge components implemented with available structural information and in formalized forms, the Quasi-Tabu local search and grouping-based recombination rules are especially useful in addressing neutrality and ruggedness of the problem landscape. The new method has been tested on some hard benchmark graphs, and has been shown competitive in comparison with several existing algorithms. In addition, the method provides new lower bound solutions when applied to two large graphs. Some search characteristics of the proposed method is also discussed.

Suggested Citation

  • Xiao-Feng Xie & Jiming Liu, 2009. "Graph coloring by multiagent fusion search," Journal of Combinatorial Optimization, Springer, vol. 18(2), pages 99-123, August.
  • Handle: RePEc:spr:jcomop:v:18:y:2009:i:2:d:10.1007_s10878-008-9140-6
    DOI: 10.1007/s10878-008-9140-6
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    References listed on IDEAS

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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. Valmir C. Barbosa & Carlos A.G. Assis & Josina O. Do Nascimento, 2004. "Two Novel Evolutionary Formulations of the Graph Coloring Problem," Journal of Combinatorial Optimization, Springer, vol. 8(1), pages 41-63, March.
    3. Anuj Mehrotra & Michael A. Trick, 1996. "A Column Generation Approach for Graph Coloring," INFORMS Journal on Computing, INFORMS, vol. 8(4), pages 344-354, November.
    4. Nicolas Barnier & Pascal Brisset, 2004. "Graph Coloring for Air Traffic Flow Management," Annals of Operations Research, Springer, vol. 130(1), pages 163-178, August.
    5. Vincenzo Cutello & Giuseppe Nicosia & Mario Pavone, 2007. "An immune algorithm with stochastic aging and kullback entropy for the chromatic number problem," Journal of Combinatorial Optimization, Springer, vol. 14(1), pages 9-33, July.
    6. Celia A. Glass & Adam Prügel-Bennett, 2003. "Genetic Algorithm for Graph Coloring: Exploration of Galinier and Hao's Algorithm," Journal of Combinatorial Optimization, Springer, vol. 7(3), pages 229-236, September.
    7. Nowicki, Eugeniusz & Smutnicki, Czeslaw, 1996. "A fast tabu search algorithm for the permutation flow-shop problem," European Journal of Operational Research, Elsevier, vol. 91(1), pages 160-175, May.
    8. 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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