A1 Refereed original research article in a scientific journal

Compact ultrametric spaces generated by labeled star graphs



Authors: Dovgoshey, Oleksiy; Cantor, Omer; Rovenska, Olga

Publisher: Combinatorial Press

Publication year: 2025

Journal:: Online Journal of Analytic Combinatorics

Article number: 1

Volume: 20

First page : 1

Last page: 19

eISSN: 1931-3365

DOI: https://doi.org/10.61091/ojac20-01

Web address : https://doi.org/10.61091/ojac20-01

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/500425431


Abstract

Let US be the class of all ultrametric spaces generated by labeled star graphs. We prove that compact US-spaces are the completions of totally bounded ultrametric spaces generated by decreasingly labeled rays. We characterize the ultrametric spaces which are weakly similar to finite US-spaces and describe these spaces by certain four-point conditions.


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Funding information in the publication: 
Oleksiy Dovgoshey was supported by grant 359772 of the Academy of Finland.
Omer Cantor was supported by grant 721/24 of the Israeli Science Foundation.


Last updated on 2025-02-10 at 14:00