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Star Partitions of Perfect Graphs

  • René van Bevern
  • Robert Bredereck
  • Laurent Bulteau
  • Jiehua Chen
  • Vincent Froese
  • Rolf Niedermeier
  • Gerhard J. Woeginger
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8572)

Abstract

The partition of graphs into nice subgraphs is a central algorithmic problem with strong ties to matching theory. We study the partitioning of undirected graphs into stars, a problem known to be NP-complete even for the case of stars on three vertices. We perform a thorough computational complexity study of the problem on subclasses of perfect graphs and identify several polynomial-time solvable cases, for example, on interval graphs and bipartite permutation graphs, and also NP-hard cases, for example, on grid graphs and chordal graphs.

Keywords

Bipartite Graph Planar Graph Token List Interval Graph Chordal 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 2014

Authors and Affiliations

  • René van Bevern
    • 1
  • Robert Bredereck
    • 1
  • Laurent Bulteau
    • 1
  • Jiehua Chen
    • 1
  • Vincent Froese
    • 1
  • Rolf Niedermeier
    • 1
  • Gerhard J. Woeginger
    • 2
  1. 1.Institut für Softwaretechnik und Theoretische InformatikTU BerlinGermany
  2. 2.Department of Mathematics and Computer ScienceTU EindhovenThe Netherlands

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