Clustered Planarity: Small Clusters in Eulerian Graphs

  • Eva Jelínková
  • Jan Kára
  • Jan Kratochvíl
  • Martin Pergel
  • Ondřej Suchý
  • Tomáš Vyskočil
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4875)

Abstract

We present several polynomial-time algorithms for c-planarity testing for clustered graphs with clusters of size at most three. The most general result concerns a special class of Eulerian graphs, namely graphs obtained from a fixed-size 3-connected graph by multiplying and then subdividing edges. We further give algorithms for 3-connected graphs, and for graphs with small faces. The last result applies with no restrictions on the cluster size.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Eva Jelínková
    • 1
  • Jan Kára
    • 2
  • Jan Kratochvíl
    • 1
    • 2
  • Martin Pergel
    • 1
  • Ondřej Suchý
    • 1
  • Tomáš Vyskočil
    • 1
  1. 1.Department of Applied Mathematics 
  2. 2.Institute for Theoretical Computer ScienceCharles UniversityPrahaCzech Republic

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