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This article is cited in 2 scientific papers (total in 2 papers) Functionals on triangulations of Delaunay sets Nikolay P. Dolbilina, Herbert Edelsbrunnerb, Alexey Glazyrinc, Oleg R. Musincd a Department of Geometry and Topology, Steklov Mathematical Institute, 8, Gubkina str., 119991, Moscow, Russia b Institute of Science and Technology Austria (IST Austria), Am Campus 1, 3400 Klosterneuburg, Austria c Department of Mathematics, University of Texas at Brownsville, One West University Boulevard, Brownsville, Texas 78520, USA d The Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bolshoy Karetny per. 19, Moscow, 127994, Russia 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. Key words and phrases: Delaunay sets, triangulations, Delaunay triangulations, uniformly bounded triangulations, functionals, densities.
DOI: https://doi.org/10.17323/1609-4514-2014-14-3-491-504  
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MSC: 52C20, 52C22 Received: Language: Citation: Nikolay P. Dolbilin, Herbert Edelsbrunner, Alexey Glazyrin, Oleg R. Musin, “Functionals on triangulations of Delaunay sets”, Mosc. Math. J., 14:3 (2014), 
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