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Aligned plane drawings of the generalized Delaunay-graphs for pseudo-disks

We study general Delaunay-graphs, which are natural generalizations of Delaunay triangulations to arbitrary families, in particular to pseudo-disks. We prove that for any finite pseudo-disk family and point set, there is a plane drawing of their Delaunay-graph such that every edge lies inside every pseudo-disk that contains its endpoints.

preprint2020arXivOpen access
Balázs KeszeghDömötör Pálvölgyi
math.COComputational Geometry
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Balázs KeszeghDömötör Pálvölgyi

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