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International Colloquium on Automata, Languages, and Programming

ICALP 2014: Automata, Languages, and Programming pp 174–185Cite as

Star Partitions of Perfect Graphs

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Part of the Lecture Notes in Computer Science book series (LNTCS,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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  • DOI: 10.1007/978-3-662-43948-7_15
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Author information

Authors and Affiliations

  1. Institut für Softwaretechnik und Theoretische Informatik, TU Berlin, Germany

    René van Bevern, Robert Bredereck, Laurent Bulteau, Jiehua Chen, Vincent Froese & Rolf Niedermeier

  2. Department of Mathematics and Computer Science, TU Eindhoven, The Netherlands

    Gerhard J. Woeginger

Authors
  1. René van Bevern
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  2. Robert Bredereck
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  3. Laurent Bulteau
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  4. Jiehua Chen
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  5. Vincent Froese
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  6. Rolf Niedermeier
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  7. Gerhard J. Woeginger
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Technische Universität München, Boltzmannstrasse 3, 85748, München, Germany

    Javier Esparza

  2. LIAFA, Université Paris Diderot-Paris 7, Case 7014, 75205, Paris Cedex 13, France

    Pierre Fraigniaud

  3. IT University of Copenhagen, Rued Langgaards Vej 7, 2300, Copenhagen, Denmark

    Thore Husfeldt

  4. Department Computer Science, University of Oxford, Wolfson Building, Parks Road, OX1 3QD, Oxford, UK

    Elias Koutsoupias

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van Bevern, R. et al. (2014). Star Partitions of Perfect Graphs. In: Esparza, J., Fraigniaud, P., Husfeldt, T., Koutsoupias, E. (eds) Automata, Languages, and Programming. ICALP 2014. Lecture Notes in Computer Science, vol 8572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43948-7_15

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  • DOI: https://doi.org/10.1007/978-3-662-43948-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

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