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arXiv · 2609.11384

Maximal Center of Distances of Finite Ultrametric Spaces and Perfect Binary Trees

Oleksiy Dovgoshey·Navjay Singh Jaiswal·Surinder Pal Singh Kainth·Gursimar Kaur·Olga Rovenska
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Abstract

We investigate the finite ultrametric spaces $(X,d)$ that have a given cardinality of the center of distances and a minimal cardinality of the set $X$. It is shown that such spaces are isometric if and only if their centers of distances are the same. The representing trees of these spaces are characterized up to isomorphism.

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Oleksiy Dovgoshey, Navjay Singh Jaiswal, Surinder Pal Singh Kainth, Gursimar Kaur, Olga Rovenska. 2026-09-10. Maximal Center of Distances of Finite Ultrametric Spaces and Perfect Binary Trees. https://arxiv.org/abs/2609.11384

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