On the Optimality of Functionals over Triangulations of Delaunay Sets

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Abstract

In this short paper, we consider the functional density on sets of uniformly bounded triangulations with fixed sets of vertices. We prove that if a functional attains its minimum on the Delaunay triangulation, for every finite set in the plane, then for infinite sets the density of this functional attains its minimum also on the Delaunay triangulations.

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Publication date Created: 16 September 2012

Article

DOI: 10.1070/RM2012v067n04ABEH004807

ArXiV ID: 1209.3541

SO-VID: 31261c6c-7b3b-409d-8804-58aaf1e3a186

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Journal reference Russian Math. Surv., 64:4 (2012), 781-783

Categories math.MG

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