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 Fundam. Prikl. Mat., 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

Lomonosov Moscow State University

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_à Ministry of Education and Science of the Russian Federation ÍØ-7962.2016.1

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Citation: A. S. Pahkomova, “Classification of metric spaces whose Steiner–Gromov ratio is equal to one”, Fundam. Prikl. Mat., 21:5 (2016), 181–189

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}