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Circular coloring of graphs via linear programming and tabu search

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  • Mate Barany
  • Zsolt Tuza

Abstract

Circular coloring is a popular branch of graph theory which has been exhaustively studied for two decades mainly from a theoretical perspective. Since it is a refinement of the traditional proper coloring, it provides a more accurate model for cyclic scheduling problems which often arise in industrial applications. The present paper briefly surveys a special class of open shop scheduling that can be solved via circular coloring, and then proposes a new mathematical programming model and tabu search algorithm to compute the circular chromatic number of a graph effectively. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Mate Barany & Zsolt Tuza, 2015. "Circular coloring of graphs via linear programming and tabu search," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 833-848, December.
    • Handle: RePEc:spr:cejnor:v:23:y:2015:i:4:p:833-848
    DOI: 10.1007/s10100-014-0345-8
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    References listed on IDEAS

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    1. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    2. Stadtler, Hartmut, 2005. "Supply chain management and advanced planning--basics, overview and challenges," European Journal of Operational Research, Elsevier, vol. 163(3), pages 575-588, June.
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