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Compact ultrametric spaces generated by labeled star graphs




TekijätDovgoshey, Oleksiy; Cantor, Omer; Rovenska, Olga

KustantajaCombinatorial Press

Julkaisuvuosi2025

Lehti:Online Journal of Analytic Combinatorics

Artikkelin numero1

Vuosikerta20

Aloitussivu1

Lopetussivu19

eISSN1931-3365

DOIhttps://doi.org/10.61091/ojac20-01

Verkko-osoitehttps://doi.org/10.61091/ojac20-01

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/500425431


Tiivistelmä

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.


Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.




Julkaisussa olevat rahoitustiedot
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