Path-Based Supports for Hypergraphs

  • Ulrik Brandes
  • Sabine Cornelsen
  • Barbara Pampel
  • Arnaud Sallaberry
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6460)


A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is \(\mathcal N\mathcal P\)-complete to compute a path-based support with the minimum number of edges or to decide whether there is a planar path-based support, we show that a path-based tree support can be computed in polynomial time if it exists.


Polynomial Time Inductive Hypothesis Tree Support Hamiltonian Path Planar Support 
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 2011

Authors and Affiliations

  • Ulrik Brandes
    • 1
  • Sabine Cornelsen
    • 1
  • Barbara Pampel
    • 1
  • Arnaud Sallaberry
    • 2
  1. 1.Fachbereich Informatik & InformationswissenschaftUniversität KonstanzGermany
  2. 2.CNRS UMR 5800 LaBRI, INRIA Bordeaux - Sud OuestPikkoFrance

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