Functionals on triangulations of delaunay sets Dolbilin, Nikolai Edelsbrunner, Herbert ; https://orcid.org/0000-0002-9823-6833 Glazyrin, Alexey Musin, Oleg 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. Independent University of Moscow 2014 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/1876 Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. Functionals on triangulations of delaunay sets. <i>Moscow Mathematical Journal</i>. 2014;14(3):491-504. doi:<a href="https://doi.org/10.17323/1609-4514-2014-14-3-491-504">10.17323/1609-4514-2014-14-3-491-504</a> eng info:eu-repo/semantics/altIdentifier/doi/10.17323/1609-4514-2014-14-3-491-504 info:eu-repo/semantics/altIdentifier/issn/1609-3321 info:eu-repo/semantics/altIdentifier/arxiv/1211.7053 info:eu-repo/semantics/openAccess