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arXiv · 1907.03828

The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces

Alexander O. Ivanov·Alexey A. Tuzhilin
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Abstract

In the present paper we investigate the Gromov--Hausdorff distances between a bounded metric space $X$ and so called simplex, i.e., a metric space all whose non-zero distances are the same. In the case when the simplex's cardinality does not exceed the cardinality of $X$, a new formula for this distance is obtained. The latter permits to derive an exact formula for the distance between a simplex and an ultrametric space.

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Alexander O. Ivanov, Alexey A. Tuzhilin. 2019-07-08. The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces. https://arxiv.org/abs/1907.03828

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