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On-line models and algorithms for max independent set

Published online by Cambridge University Press:  12 October 2006

Bruno Escoffier  and
Vangelis Th. Paschos
Bruno Escoffier
Affiliation:
LAMSADE, Université Paris-Dauphine, 75775 Paris Cedex 16, France; e-mail: {escoffier,paschos}@lamsade.dauphine.fr
Vangelis Th. Paschos
Affiliation:
LAMSADE, Université Paris-Dauphine, 75775 Paris Cedex 16, France; e-mail: {escoffier,paschos}@lamsade.dauphine.fr
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Abstract

In on-line computation, the instance of the problem dealt is not entirely known from the beginning of the solution process, but it is revealed step-by-step. In this paper we deal with on-line independent set. On-line models studied until now for this problem suppose that the input graph is initially empty and revealed either vertex-by-vertex, or cluster-by-cluster. Here we present a new on-line model quite different to the ones already studied. It assumes that a superset of the final graph is initially present (in our case the complete graph on the order n of the final graph) and edges are progressively removed until the achievement of the final graph. Next, we revisit the model introduced in [Demange, Paradon and Paschos, Lect. Notes Comput. Sci.1963 (2000) 326–334] and study relaxations assuming that some paying backtracking is allowed.

Keywords

Approximation algorithmscompetitive ratiomaximum independent seton-line algorithms.
Type
Research Article
Information
RAIRO - Operations Research , Volume 40 , Issue 2: ROADEF 03 , April 2006 , pp. 129 - 142
Copyright
© EDP Sciences, 2006

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References

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