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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 119–124 (Mi fpm1503)  
This article is cited in 3 scientific papers (total in 3 papers)

Estimates for the Steiner–Gromov ratio of Riemannian manifolds

V. A. Mishchenko

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (99 kB) Citations (3)
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Abstract: The Steiner–Gromov ratio of a metric space $X$ characterizes the ratio of the minimal filling weight to the minimal spanning tree length for a finite subset of $X$. It is proved that the Steiner–Gromov ratio of an arbitrary Riemannian manifold does not exceed the Steiner–Gromov ratio of the Euclidean space of the same dimension.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 833–836
DOI: https://doi.org/10.1007/s10958-014-2173-8
Bibliographic databases:
Document Type: Article
UDC: 519.711.7
Language: Russian
Citation: V. A. Mishchenko, “Estimates for the Steiner–Gromov ratio of Riemannian manifolds”, Fundam. Prikl. Mat., 18:2 (2013), 119–124; J. Math. Sci., 203:6 (2014), 833–836
Citation in format AMSBIB
\Bibitem{Mis13}
\by V.~A.~Mishchenko
\paper Estimates for the Steiner--Gromov ratio of Riemannian manifolds
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 119--124
\mathnet{http://mi.mathnet.ru/fpm1503}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431789}
\elib{https://elibrary.ru/item.asp?id=23616856}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 833--836
\crossref{https://doi.org/10.1007/s10958-014-2173-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922076727}
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  • https://www.mathnet.ru/eng/fpm/v18/i2/p119
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:59
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