Work

Center of Distances of Ultrametric Spaces Generated by Labeled Trees

Year: 2026

Type: article

Abstract: The center of distances of a metric space (X,d) is the set C(X) of all t∈R+ for which the equation d(x,p)=t has a solution for each p∈X. We prove that the equalities C(X)={0} or C(X)={0,diamX} hold if (X,d) is an ultrametric space generated by labeled trees. The necessary and sufficient conditions under which diamX∈C(X) are found.

Source: Mathematics

DOI: 10.3390/math14050865

Authors: Oleksiy Dovgoshey, Olga Rovenska

Institutions: University of Turku, Donbass State Engineering Academy

Language: English

Topic: advanced mathematical theories

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Academy of Finland