English

Functionals on Triangulations of Delaunay Sets

Metric Geometry 2014-11-11 v1

Abstract

We study densities of functionals over uniformly bounded triangulations of a Delaunay set of vertices, and prove that the minimum is attained for the Delaunay triangulation if this is the case for finite sets.

Keywords

Cite

@article{arxiv.1211.7053,
  title  = {Functionals on Triangulations of Delaunay Sets},
  author = {Nikolay P. Dolbilin and Herbert Edelsbrunner and Alexey Glazyrin and Oleg R. Musin},
  journal= {arXiv preprint arXiv:1211.7053},
  year   = {2014}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-21T22:46:24.737Z