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Polynomial algorithms for kernels in comparability, permutation and P4-free graphs

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Abstract.

In this paper, we give three polynomial algorithms which detect a kernel in comparability graphs relatively to an M-orientation, in permutation graphs and in P4-free graphs with a normal orientation.

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Author information

Authors and Affiliations

  1. USTHB, Faculté de Mathématiques, LAID3, El-Alia, BP 32, Bab-Ezzouar, 16111, Alger, Algérie

    Moncef Abbas

  2. Département de Mathématiques, Ecole Normale Supérieure, BP 92 Kouba, 16050, Alger, Algérie

    Youcef Saoula

Authors
  1. Moncef Abbas
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  2. Youcef Saoula
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Correspondence to Youcef Saoula.

Additional information

MSC classification:

05C69, 05C85

Correspondence to: Saoula Youcef

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Abbas, M., Saoula, Y. Polynomial algorithms for kernels in comparability, permutation and P4-free graphs. 4OR 3, 217–225 (2005). https://doi.org/10.1007/s10288-005-0067-9

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  • DOI: https://doi.org/10.1007/s10288-005-0067-9

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