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Sbornik: Mathematics, 2016, Volume 207, Issue 8, Pages 1064–1078
DOI: https://doi.org/10.1070/SM8546
(Mi sm8546)
 

This article is cited in 5 scientific papers (total in 5 papers)

The length of a minimal filling of star type

B. B. Bednov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: The length of a minimal filling of star type for an arbitrary finite metric space is expressed as a function of the distances between points of this space.
Bibliography: 9 titles.
Keywords: Banach space, shortest network, minimal filling, Steiner point.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00510-a
15-01-08335-a
This research was supported by the Russian Foundation for Basic Research (grant nos. 14-01-00510-a and 15-01-08335-a).
Received: 25.05.2015 and 30.03.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 8, Pages 31–46
DOI: https://doi.org/10.4213/sm8546
Bibliographic databases:
Document Type: Article
UDC: 517.982.256+515.124.4
MSC: Primary 05C35; Secondary 05C05, 05C12, 54E35
Language: English
Original paper language: Russian
Citation: B. B. Bednov, “The length of a minimal filling of star type”, Mat. Sb., 207:8 (2016), 31–46; Sb. Math., 207:8 (2016), 1064–1078
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/sm8546
  • https://doi.org/10.1070/SM8546
  • https://www.mathnet.ru/eng/sm/v207/i8/p31
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:391
    Russian version PDF:52
    English version PDF:12
    References:63
    First page:38
     
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