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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
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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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