[{"_id":"1876","abstract":[{"lang":"eng","text":"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."}],"date_published":"2014-07-01T00:00:00Z","article_processing_charge":"No","issue":"3","arxiv":1,"volume":14,"main_file_link":[{"url":"http://arxiv.org/abs/1211.7053","open_access":"1"}],"oa":1,"publication_status":"published","oa_version":"Submitted Version","year":"2014","article_type":"original","publist_id":"5220","publication_identifier":{"issn":["16093321"]},"external_id":{"arxiv":["1211.7053"]},"scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2022-03-03T11:47:09Z","date_created":"2018-12-11T11:54:29Z","month":"07","page":"491 - 504","intvolume":"        14","status":"public","publication":"Moscow Mathematical Journal","department":[{"_id":"HeEd"}],"quality_controlled":"1","publisher":"Independent University of Moscow","author":[{"first_name":"Nikolai","full_name":"Dolbilin, Nikolai","last_name":"Dolbilin"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","first_name":"Herbert"},{"last_name":"Glazyrin","full_name":"Glazyrin, Alexey","first_name":"Alexey"},{"full_name":"Musin, Oleg","first_name":"Oleg","last_name":"Musin"}],"type":"journal_article","day":"01","title":"Functionals on triangulations of delaunay sets","citation":{"ieee":"N. Dolbilin, H. Edelsbrunner, A. Glazyrin, and O. Musin, “Functionals on triangulations of delaunay sets,” <i>Moscow Mathematical Journal</i>, vol. 14, no. 3. Independent University of Moscow, pp. 491–504, 2014.","ista":"Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. 2014. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 14(3), 491–504.","chicago":"Dolbilin, Nikolai, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin. “Functionals on Triangulations of Delaunay Sets.” <i>Moscow Mathematical Journal</i>. Independent University of Moscow, 2014. <a href=\"https://doi.org/10.17323/1609-4514-2014-14-3-491-504\">https://doi.org/10.17323/1609-4514-2014-14-3-491-504</a>.","mla":"Dolbilin, Nikolai, et al. “Functionals on Triangulations of Delaunay Sets.” <i>Moscow Mathematical Journal</i>, vol. 14, no. 3, Independent University of Moscow, 2014, pp. 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>.","short":"N. Dolbilin, H. Edelsbrunner, A. Glazyrin, O. Musin, Moscow Mathematical Journal 14 (2014) 491–504.","apa":"Dolbilin, N., Edelsbrunner, H., Glazyrin, A., &#38; Musin, O. (2014). Functionals on triangulations of delaunay sets. <i>Moscow Mathematical Journal</i>. Independent University of Moscow. <a href=\"https://doi.org/10.17323/1609-4514-2014-14-3-491-504\">https://doi.org/10.17323/1609-4514-2014-14-3-491-504</a>","ama":"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>"},"doi":"10.17323/1609-4514-2014-14-3-491-504","language":[{"iso":"eng"}]}]