Convex drawings of 3-connected plane graphs

  • Authors:
  • Nicolas Bonichon;Stefan Felsner;Mohamed Mosbah

  • Affiliations:
  • LaBRI , Université Bordeaux-1, Talence Cedex, France;Institut für Mathematik, MA 6-1, Technische Universität Berlin, Berlin, Germany;LaBRI , Université Bordeaux-1, Talence Cedex, France

  • Venue:
  • GD'04 Proceedings of the 12th international conference on Graph Drawing
  • Year:
  • 2004

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Abstract

We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n−2−Δ) ×(n−2−Δ). The parameter Δ≥ 0 depends on the the Schnyder wood used for the drawing. This parameter is in the range $0 \leq \Delta\leq \frac{n}{2}-2$.