Compact ultrametric spaces generated by labeled star graphs
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.
Authors
- Olga Rovenska (ORCID: https://orcid.org/0000-0003-1612-5409)
- Oleksiy Dovgoshey (ORCID: https://orcid.org/0000-0001-9689-2303)
- Omer Cantor (ORCID: https://orcid.org/0009-0007-2969-7170)
Publication Details
- Journal
- Online Journal of Analytic Combinatorics
- Published
- 2025-09-04
- DOI
- https://doi.org/10.61091/ojac20-01
- Citations
- 1
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 2.11