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arXiv · 1201.6669

Roundness properties of ultrametric spaces

Timothy Faver·Katelynn Kochalski·Mathav Murugan·Heidi Verheggen·Elizabeth Wesson·Anthony Weston
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Abstract

We obtain several new characterizations of ultrametric spaces in terms of roundness, generalized roundness, strict p-negative type, and p-polygonal equalities (p > 0). This allows new insight into the isometric embedding of ultrametric spaces into Euclidean spaces. We also consider roundness properties additive metric spaces which are not ultrametric.

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Timothy Faver, Katelynn Kochalski, Mathav Murugan, Heidi Verheggen, Elizabeth Wesson, Anthony Weston. 2012-01-31. Roundness properties of ultrametric spaces. https://arxiv.org/abs/1201.6669

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