[{"creator":{"id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","login":"apreinsp"},"publist_id":"5220","date_updated":"2022-03-03T11:47:09Z","dini_type":"doc-type:article","date_created":"2018-12-11T11:54:29Z","volume":14,"author":[{"first_name":"Nikolai","last_name":"Dolbilin"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert","last_name":"Edelsbrunner"},{"last_name":"Glazyrin","first_name":"Alexey"},{"last_name":"Musin","first_name":"Oleg"}],"publication_status":"published","department":[{"_id":"HeEd","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"month":"07","publication_identifier":{"issn":[]},"language":[{}],"quality_controlled":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1211.7053"}],"oa":1,"external_id":{"arxiv":[]},"abstract":[{"lang":"eng"}],"issue":"3","type":"journal_article","oa_version":"Submitted Version","status":"public","intvolume":" 14","_id":"1876","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"01","uri_base":"https://research-explorer.ista.ac.at","article_processing_charge":"No","dc":{"language":["eng"],"date":["2014"],"title":["Functionals on triangulations of delaunay sets"],"publisher":["Independent University of Moscow"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.17323/1609-4514-2014-14-3-491-504","info:eu-repo/semantics/altIdentifier/issn/16093321","info:eu-repo/semantics/altIdentifier/arxiv/1211.7053"],"source":["Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 2014;14(3):491-504. doi:10.17323/1609-4514-2014-14-3-491-504"],"rights":["info:eu-repo/semantics/openAccess"],"creator":["Dolbilin, Nikolai","Edelsbrunner, Herbert","Glazyrin, Alexey","Musin, Oleg"],"description":["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."],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"identifier":["https://research-explorer.ista.ac.at/record/1876"]},"scopus_import":"1","date_published":"2014-07-01T00:00:00Z","article_type":"original","page":"491 - 504","publication":"Moscow Mathematical Journal","citation":{"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.” Moscow Mathematical Journal, vol. 14, no. 3, Independent University of Moscow, 2014, pp. 491–504, doi:10.17323/1609-4514-2014-14-3-491-504.","chicago":"Dolbilin, Nikolai, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin. “Functionals on Triangulations of Delaunay Sets.” Moscow Mathematical Journal. Independent University of Moscow, 2014. https://doi.org/10.17323/1609-4514-2014-14-3-491-504.","ieee":"N. Dolbilin, H. Edelsbrunner, A. Glazyrin, and O. Musin, “Functionals on triangulations of delaunay sets,” Moscow Mathematical Journal, vol. 14, no. 3. Independent University of Moscow, pp. 491–504, 2014.","apa":"Dolbilin, N., Edelsbrunner, H., Glazyrin, A., & Musin, O. (2014). Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. Independent University of Moscow. https://doi.org/10.17323/1609-4514-2014-14-3-491-504","ista":"Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. 2014. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 14(3), 491–504."}}]