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