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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 157–165 (Mi fpm1507)  

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

The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance

Z. N. Ovsyannikov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (133 kB) Citations (5)
References:
Abstract: The Steiner and Gromov–Steiner ratios and Steiner subratio are fundamental characteristics of metric spaces. In this work, an attempt is made to find these ratios for the space of compacts in Euclidean space with Hausdorff metric.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 858–863
DOI: https://doi.org/10.1007/s10958-014-2177-4
Bibliographic databases:
Document Type: Article
UDC: 514.774+519.176+514.747
Language: Russian
Citation: Z. N. Ovsyannikov, “The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance”, Fundam. Prikl. Mat., 18:2 (2013), 157–165; J. Math. Sci., 203:6 (2014), 858–863
Citation in format AMSBIB
\Bibitem{Ovs13}
\by Z.~N.~Ovsyannikov
\paper The Steiner and Gromov--Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 157--165
\mathnet{http://mi.mathnet.ru/fpm1507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431793}
\elib{https://elibrary.ru/item.asp?id=23616860}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 858--863
\crossref{https://doi.org/10.1007/s10958-014-2177-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922106060}
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  • https://www.mathnet.ru/eng/fpm1507
  • https://www.mathnet.ru/eng/fpm/v18/i2/p157
  • 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
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