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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 5, Pages 181–189 (Mi fpm1762)  

Classification of metric spaces whose Steiner–Gromov ratio is equal to one

A. S. Pahkomova

Moscow State University, Moscow, Russia
References:
Abstract: Several equivalent conditions for the Steiner–Gromov ratio of a metric space to be equal to one are stated, i.e., conditions for each minimal spanning tree in any finite subset of a given metric space to be both a shortest tree and a minimal filling. A complete classification of such spaces is obtained.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00378_а
Ministry of Education and Science of the Russian Federation НШ-7962.2016.1
This work was partly supported by RFBR, project No. 16-01-00378a, and by President of RF Program for Supporting Leading Scientific Schools, project No. NSh-7962.2016.1.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 5, Pages 636–641
DOI: https://doi.org/10.1007/s10958-020-04900-3
Document Type: Article
UDC: 515.124+519.176
Language: Russian
Citation: A. S. Pahkomova, “Classification of metric spaces whose Steiner–Gromov ratio is equal to one”, Fundam. Prikl. Mat., 21:5 (2016), 181–189; J. Math. Sci., 248:5 (2020), 636–641
Citation in format AMSBIB
\Bibitem{Pah16}
\by A.~S.~Pahkomova
\paper Classification of metric spaces whose Steiner--Gromov ratio is equal to one
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 5
\pages 181--189
\mathnet{http://mi.mathnet.ru/fpm1762}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 248
\issue 5
\pages 636--641
\crossref{https://doi.org/10.1007/s10958-020-04900-3}
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    Фундаментальная и прикладная математика
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