The duals of upward planar graphs on cylinders

  • Authors:
  • Christopher Auer;Christian Bachmaier;Franz J. Brandenburg;Andreas Gleißner;Kathrin Hanauer

  • Affiliations:
  • University of Passau, Germany;University of Passau, Germany;University of Passau, Germany;University of Passau, Germany;University of Passau, Germany

  • Venue:
  • WG'12 Proceedings of the 38th international conference on Graph-Theoretic Concepts in Computer Science
  • Year:
  • 2012

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Abstract

We consider directed planar graphs with an upward planar drawing on the rolling and standing cylinders. These classes extend the upward planar graphs in the plane. Here, we address the dual graphs. Our main result is a combinatorial characterization of these sets of upward planar graphs. It basically shows that the roles of the standing and the rolling cylinders are interchanged for their duals.