Maximal Center of Distances of Finite Ultrametric Spaces and Perfect Binary Trees
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 are isometric if and only if their centers of distances are the same. The representing trees of these spaces are characterized up to isomorphism.
Authors
- Surinder Pal Singh Kainth (ORCID: https://orcid.org/0000-0002-2469-265X)
- Olga G Rovenska (ORCID: https://orcid.org/0000-0003-1612-5409)
- Oleksiy A. Dovgoshey (ORCID: https://orcid.org/0000-0001-9689-2303)
- Navjay Singh Jaiswal
- Gursimar Kaur
Institutions
- University of Turku (FI)
- Indian Institute of Technology Gandhinagar (IN)
- Institute of Applied Mathematics and Mechanics (UA)
- Donbass State Engineering Academy (UA)
- Panjab University (IN)
Publication Details
- Journal
- Axioms
- Published
- 2026-11-08
- DOI
- https://doi.org/10.3390/axioms15110835
- Citations
- 1
- Primary Topic
- p-Adic Analysis and Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.76