O. Dovgoshey

activity

20092026

most citedProducts of metric spaces, covering numbers, packing numbers and characterizations of ultrametric spaces

24 citations · 98 across the 69 of their papers we have counts for

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26 papers · 1 filter

math.GN2026

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

Oleksiy Dovgoshey, Navjay Singh Jaiswal, Surinder Pal Singh Kainth +2

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…

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.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…

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

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

The Gomory-Hu inequality and trees

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