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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 119–124
(Mi fpm1503)
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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
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.
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
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https://www.mathnet.ru/eng/fpm1503 https://www.mathnet.ru/eng/fpm/v18/i2/p119
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Abstract page: | 305 | Full-text PDF : | 116 | References: | 44 | First page: | 1 |
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