Work

Compact ultrametric spaces generated by labeled star graphs

Year: 2025

Type: article

Abstract: 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.

Source: Online Journal of Analytic Combinatorics

DOI: 10.61091/ojac20-01

Authors: Oleksiy Dovgoshey, Omer Cantor, Olga Rovenska

Institutions: University of Turku, Institute of Applied Mathematics and Mechanics, University of Haifa, Donbass State Engineering Academy

Language: English

Topic: advanced mathematical theories

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4414005532

FWCI: 1.608

Cites:

Cited by: 1

Related to: 10