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A Combinatorial Algorithm for Minimum Weighted Colorings of Claw-Free Perfect Graphs

Author

Listed:
  • Xueliang Li

    (Nankai University)

  • Wenan Zang

    (University of Hong Kong)

Abstract

We present an O(n5) combinatorial algorithm for the minimum weighted coloring problem on claw-free perfect graphs, which was posed by Hsu and Nemhauser in 1984. Our algorithm heavily relies on the structural descriptions of claw-free perfect graphs given by Chavátal and Sbihi and by Maffray and Reed.

Suggested Citation

  • Xueliang Li & Wenan Zang, 2005. "A Combinatorial Algorithm for Minimum Weighted Colorings of Claw-Free Perfect Graphs," Journal of Combinatorial Optimization, Springer, vol. 9(4), pages 331-347, June.
    • Handle: RePEc:spr:jcomop:v:9:y:2005:i:4:d:10.1007_s10878-005-1775-y
    DOI: 10.1007/s10878-005-1775-y
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    References listed on IDEAS

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    1. HSU, Wen-Lian & NEMHAUSER, George L., 1984. "Algorithms for maximum weight cliques, minimum weighted clique covers and minimum colorings of claw-free perfect graphs," LIDAM Reprints CORE 595, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Vadim Lozin & Christopher Purcell, 2014. "Coloring vertices of claw-free graphs in three colors," Journal of Combinatorial Optimization, Springer, vol. 28(2), pages 462-479, August.
    2. Frédéric Maffray & Nicolas Trotignon & Kristina Vuskovic, 2006. "Algorithms for square-3PC(.,.)-free Berge graphs," Cahiers de la Maison des Sciences Economiques b06085, Université Panthéon-Sorbonne (Paris 1).
    3. Frédéric Maffray & Nicolas Trotignon & Kristina Vuskovic, 2006. "Algorithms for square-3PC(.,.)-free Berge graphs," Post-Print halshs-00130439, HAL.

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    1. Frédéric Maffray & Nicolas Trotignon & Kristina Vuskovic, 2006. "Algorithms for square-3PC(.,.)-free Berge graphs," Post-Print halshs-00130439, HAL.
    2. Frédéric Maffray & Nicolas Trotignon & Kristina Vuskovic, 2006. "Algorithms for square-3PC(.,.)-free Berge graphs," Cahiers de la Maison des Sciences Economiques b06085, Université Panthéon-Sorbonne (Paris 1).

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