A1 Refereed original research article in a scientific journal
Ultrametric spaces generated by labeled star graphs
Authors: Dovgoshey, Oleksiy; Rovenska, Olga
Publisher: Springer Science and Business Media LLC
Publication year: 2025
Journal: Journal of Mathematical Sciences
Journal name in source: Journal of Mathematical Sciences
Volume: 288
Issue: 2
First page : 182
Last page: 198
ISSN: 1072-3374
eISSN: 1573-8795
DOI: https://doi.org/10.1007/s10958-025-07676-6(external)
Web address : https://doi.org/10.1007/s10958-025-07676-6(external)
Preprint address: https://arxiv.org/abs/2502.01260(external)
For an arbitrary star graph S with a non-degenerate vertex labeling l : V (S) → R+, we denote
by dl the corresponding ultrametric on the vertex set V (S) of S. We characterize the class US of all
ultrametric spaces (V (S), dl) up to isometry. We also find the necessary and sufficient conditions under
which the group of all self-isometries of ultrametric space (V (S), dl) coincides with the group of all selfisomorphisms of the labeled star graph S(l).
2010 MSC. Primary 54E35, Secondary 54E4.
Funding information in the publication:
The first author was supported by grant 359772 of the Academy of Finland.
