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On-line computation and maximum-weighted hereditary subgraph problems

Author

Listed:
  • Marc Demange

    (ESSEC Business School)

  • Bernard Kouakou

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Eric Soutif

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CEDRIC - Centre d'études et de recherche en informatique et communications - ENSIIE - Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise - CNAM - Conservatoire National des Arts et Métiers [CNAM] - HESAM - HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université)

Abstract

In this paper, we study the on-line version of maximum-weighted hereditary subgraph problems. In our on-line model, the final instance-graph (which has n vertices) is revealed in t clusters, 2 ≤ t ≤ n. We first focus on the on-line version of the following problem: finding a maximum-weighted subgraph satisfying some hereditary property. Then, we deal with the particular case of the independent set. For all these problems, we are interested in two types of results: the competitivity ratio guaranteed by the on-line algorithm and hardness results that account for the difficulty of the problems and for the quality of algorithms developed to solve them.

Suggested Citation

  • Marc Demange & Bernard Kouakou & Eric Soutif, 2006. "On-line computation and maximum-weighted hereditary subgraph problems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00115615, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00115615
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00115615
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