Planar Lombardi Drawings of Outerpaths

Lombardi drawings are drawings of graphs in the plane so that every edge is represented by a circular arc and every vertex has perfect angular resolution. We study planar Lombardi drawings for outerpaths, i.e., outerplanar graphs whose dual is a path. We show that every outerpath has an outerplanar Lombardi drawing and present a linear-time algorithm to construct it.


slides
keywords: Computational Geometry, Graph Drawing, Graphs Theory

Workshop or Poster (weakly reviewed)

Maarten Löffler, Martin Nöllenburg
Planar Lombardi Drawings of Outerpaths
Proc. 20th Symposium on Graph Drawing
561–562, 2012

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