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

collaborators

Showing 2025 · math.GNShow all

8 papers · 2 filters

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…

math.GN2025

Forbidden Four Cycle, Star Graphs and Isometric Embeddings

Oleksiy Dovgoshey, Olga Rovenska

We prove the necessary and sufficient conditions under which ultrametric spaces of arbitrary infinite cardinality admit isometric embeddings into ultrametric spaces generated by la…

math.GN2025

Hausdorff distance between ultrametric balls

Oleksiy Dovgoshey

Let $(X, d)$ be an ultrametric space and let $d_{H}$ be the Hausdorff distance on the set $B ˉ_{X}$ of all closed balls in $(X, d)$ . Some interconnections between the prop…

math.GN2025

Labeled Trees Generating Separable and Locally Finite Ultrametrics

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.GN2025

Compact ultrametric spaces generated by labeled star graphs

Oleksiy Dovgoshey, Omer Cantor, Olga Rovenska

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…

math.GN2025

Totally bounded ultrametric spaces and locally finite trees

Oleksiy Dovgoshey

We investigate the interrelations between the metric properties, order properties and combinatorial properties of the set of balls in totally bounded ultrametric space. In particul…

math.GN2025

Ultrametric spaces generated by labeled star graphs

Oleksiy Dovgoshey, Olga Rovenska

For arbitrary star graph $S$ with a non-degenerate vertex labeling $l : V (S) \to R^{+}$ we denote by $d_{l}$ the corresponding ultrametric on the vertex set $V (S)$ of $S$ .…

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

Longest paths in trees and isometricity of ultrametric spaces

Forbidden Four Cycle, Star Graphs and Isometric Embeddings

Hausdorff distance between ultrametric balls

Labeled Trees Generating Separable and Locally Finite Ultrametrics

Compact ultrametric spaces generated by labeled star graphs

Totally bounded ultrametric spaces and locally finite trees

Ultrametric spaces generated by labeled star graphs