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arXiv · 1806.04217

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

Balázs Keszegh·Dömötör Pálvölgyi
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Abstract

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.

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Balázs Keszegh, Dömötör Pálvölgyi. 2020-08-24. Aligned plane drawings of the generalized Delaunay-graphs for pseudo-disks. https://arxiv.org/abs/1806.04217

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