The path partition problem and related problems in bipartite graphs

  • Authors:
  • JéRôMe Monnot;Sophie Toulouse

  • Affiliations:
  • CNRS LAMSADE - UMR 7024, Université Paris-Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 Paris Cedex 16, France;LIPN - UMR CNRS 7030, Institut Galilée, Université Paris 13, 99 av. Jean-Baptiste Clément, 93430 Villetaneuse, France

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

We prove that it is NP-complete to decide whether a bipartite graph of maximum degree three on nk vertices can be partitioned into n paths of length k. Finally, we propose some approximation and inapproximation results for several related problems.