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A Study of Tabu Search for Coloring Random 3-Colorable Graphs Around the Phase Transition

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  • Jean-Philippe Hamiez

    (Université d’Angers/LERIA, France)

  • Jin-Kao Hao

    (Université d’Angers, France)

  • Fred W. Glover

    (OptTek Systems Inc., USA)

Abstract

The authors present an experimental investigation of tabu search (TS) to solve the 3-coloring problem (3-COL). Computational results reveal that a basic TS algorithm is able to find proper 3-colorings for random 3-colorable graphs with up to 11000 vertices and beyond when instances follow the uniform or equipartite well-known models, and up to 1500 vertices for the hardest class of flat graphs. This study also validates and reinforces some existing phase transition thresholds for 3-COL.

Suggested Citation

  • Jean-Philippe Hamiez & Jin-Kao Hao & Fred W. Glover, 2010. "A Study of Tabu Search for Coloring Random 3-Colorable Graphs Around the Phase Transition," International Journal of Applied Metaheuristic Computing (IJAMC), IGI Global, vol. 1(4), pages 1-24, October.
    • Handle: RePEc:igg:jamc00:v:1:y:2010:i:4:p:1-24
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    Cited by:

    1. Iztok Fister & Marjan Mernik & Bogdan Filipič, 2013. "Graph 3-coloring with a hybrid self-adaptive evolutionary algorithm," Computational Optimization and Applications, Springer, vol. 54(3), pages 741-770, April.

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