Geodesic
Estimates for the Steiner--Gromov ratio of Riemannian manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 119-124

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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. 
@article{FPM_2013_18_2_a8,
     author = {V. A. Mishchenko},
     title = {Estimates for the {Steiner--Gromov} ratio of {Riemannian} manifolds},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {119--124},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a8/}
}
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V. A. Mishchenko. Estimates for the Steiner--Gromov ratio of Riemannian manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 119-124. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a8/