Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.11384

Authors: Dovgoshey, Oleksiy, Jaiswal, Navjay Singh, Kainth, Surinder Pal Singh, Kaur, Gursimar, Rovenska, Olga

Institutions: Institute of Applied Mathematics and Mechanics, Panjab University

Language: English

Topic: p-Adic Analysis and Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212300147

Cites: 3

Cited by: 1

Related to: 10