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

Authors

  • Balázs Keszegh Alfréd Rényi Institute of Mathematics, Budapest and MTA-ELTE Lendület Combinatorial Geometry Research Group, Budapest https://orcid.org/0000-0002-3839-5103
  • Dömötör Pálvölgyi MTA-ELTE Lendület Combinatorial Geometry Research Group, Budapest

DOI:

https://doi.org/10.20382/jocg.v11i1a13

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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Published

2020-08-10

Issue

Vol. 11 No. 1 (2020)

Section

Articles

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