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