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On-line Maximum-order Induced Hereditary Subgraph Problems

Author

Listed:
  • Demange, M.
  • Paradon, X.
  • Paschos, V.T.

Abstract

We first study the competitivity ratio for the on-line version of the problem of finding a maximum-order induced subgraph satisfying some hereditary property, under the hypothesis that the input graph is revealed by clusters. Next, we focus ourselves on two of the most known instantiations of this problem, the maximum independent set and the maximum clique. Finally, we study a variant of the on-line maximum-weight induced hereditary subgraph problem.

Suggested Citation

  • Demange, M. & Paradon, X. & Paschos, V.T., 2000. "On-line Maximum-order Induced Hereditary Subgraph Problems," Papiers d'Economie Mathématique et Applications 2000.114, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:2000.114
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    More about this item

    Keywords

    COMPETITION ; HEREDITY ; HEREDITARY PROPERTY;
    All these keywords.

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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