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On the complexity of the maximum cut problem

  • Hans L. Bodlaender
  • Klaus Jansen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 775)

Abstract

The complexity of the SIMPLE MAXCUT problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the following classes: chordal graphs, undirected path graphs, split graphs, tripartite graphs, and graphs that are the complement of a bipartite graph. The problem can be solved in polynomial time, when restricted to graphs with bounded treewidth, or cographs. We also give large classes of graphs that can be seen as generalizations of classes of graphs with bounded treewidth and of the class of the cographs, and allow polynomial time algorithms for the SIMPLE MAX CUT problem.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Hans L. Bodlaender
    • 1
  • Klaus Jansen
    • 2
  1. 1.Department of Computer ScienceUtrecht UniversityTB UtrechtThe Netherlands
  2. 2.Fachbereich 11 - Mathematik, FG InformatikUniversität DuisburgDuisburgGermany

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