O. Dovgoshey

activity

20242026

collaborators

13 papers

math.GN2026

Konig's Infinity Lemma for locally finite ultrametric spaces generated by labeled trees

Oleksiy Dovgoshey, Olga Rovenska

We analyze the interplay between labeled trees and the ultrametric spaces they present. We provide characterizations of labeled trees that generate separable ultrametric spaces and…

math.GN2026

The Gomory-Hu inequality and trees

Oleksiy Dovgoshey, Olga Rovenska

Let $G = (V, E)$ be a finite connected graph with vertex set $V$ and edge set $E$ , and let $U (G)$ be the set of all ultrametric spaces $(V, d_{l})$ generated by vertex labelings $l\colon…

math.MG2026

On the center of distances of finite ultrametric spaces

Oleksiy Dovgoshey, Olga Rovenska

The center of distances of a metric space $(X, d)$ is the set $C (X)$ of all $t \in R^{+}$ for which the equation $d (x, p) = t$ has a solution for each $p \in X$ . We prove the inequ…

math.GN2026

Center of distances of ultrametric spaces generated by labeled trees

Oleksiy Dovgoshey, Olga Rovenska

The center of distances of a metric space $(X, d)$ is the set $C (X)$ of all $t \in R^{+}$ for which the equation $d (x, p) = t$ has a solution for each $p \in X$ . We prove that the…

math.GN2025

On the closure of one point sets in $T_0$-spaces

Oleksiy Dovgoshey, Ruslan Shanin

Let $X$ be a set and $2^{X}$ be a set of all subsets of $X$ . The necessary and sufficient conditions under which a mapping $X \to 2^{X}$ is a closure of one-point sets in some $T_{0}$ -sp…

math.GN2025

Longest paths in trees and isometricity of ultrametric spaces

Oleksiy Dovgoshey, Olga Rovenska

Let $T$ be a tree of arbitrary finite or infinite order and let $U (T)$ be the set of all ultrametric spaces generated by vertex labelings of $T$ . Let $US$ denote the class of…

Konig's Infinity Lemma for locally finite ultrametric spaces generated by labeled trees

The Gomory-Hu inequality and trees

On the center of distances of finite ultrametric spaces

Center of distances of ultrametric spaces generated by labeled trees

On the closure of one point sets in \(T_0\)-spaces

Longest paths in trees and isometricity of ultrametric spaces