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Steiner Problem in Gromov-Hausdorff Space: the Case of Finite Metric Spaces

2016/04/07 by Ivanov, Alexander, Nikolaeva, Nadezhda, Tuzhilin, Alexey
#51F99 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1604.02170

Abstract

It is shown that each finite family of finite metric spaces, being considered as a subset of Gromov--Hausdorff space, can be connected by a Steiner minimal tree.

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