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Two methods for the generation of chordal graphs

Author

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  • Lilian Markenzon
  • Oswaldo Vernet
  • Luiz Araujo

Abstract

In this paper two methods for automatic generation of connected chordal graphs are proposed: the first one is based on new results concerning the dynamic maintenance of chordality under edge insertions; the second is based on expansion/merging of maximal cliques. Theoretical and experimental results are presented. In both methods, chordality is preserved along the whole generation process. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Lilian Markenzon & Oswaldo Vernet & Luiz Araujo, 2008. "Two methods for the generation of chordal graphs," Annals of Operations Research, Springer, vol. 157(1), pages 47-60, January.
    • Handle: RePEc:spr:annopr:v:157:y:2008:i:1:p:47-60:10.1007/s10479-007-0190-4
    DOI: 10.1007/s10479-007-0190-4
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    Cited by:

    1. Şeker, Oylum & Ekim, Tınaz & Taşkın, Z. Caner, 2021. "An exact cutting plane algorithm to solve the selective graph coloring problem in perfect graphs," European Journal of Operational Research, Elsevier, vol. 291(1), pages 67-83.
    2. Tınaz Ekim & Mordechai Shalom & Oylum Şeker, 2021. "The complexity of subtree intersection representation of chordal graphs and linear time chordal graph generation," Journal of Combinatorial Optimization, Springer, vol. 41(3), pages 710-735, April.

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