Reoptimization of Some Maximum Weight Induced Hereditary Subgraph Problems

  • Nicolas Boria
  • Jérôme Monnot
  • Vangelis Th. Paschos
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7256)

Abstract

The reoptimization issue studied in this paper can be described as follows: given an instance I of some problem Π, an optimal solution OPT for Π in I and an instance I′ resulting from a local perturbation of I that consists of insertions or removals of a small number of data, we wish to use OPT in order to solve Π in I’, either optimally or by guaranteeing an approximation ratio better than that guaranteed by an ex nihilo computation and with running time better than that needed for such a computation. We use this setting in order to study weighted versions of several representatives of a broad class of problems known in the literature as maximum induced hereditary subgraph problems. The main problems studied are max independent set, max k-colorable subgraph and max split subgraph under vertex insertions and deletions.

Keywords

Polynomial Time Approximation Ratio Steiner Tree Initial Graph Split Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Nicolas Boria
    • 1
  • Jérôme Monnot
    • 1
  • Vangelis Th. Paschos
    • 1
    • 2
  1. 1.LAMSADE, CNRS UMR 7243 and Université Paris-DauphineFrance
  2. 2.Institut Universitaire de FranceFrance

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