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