A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Ultrametric spaces generated by labeled star graphs
Tekijät: Dovgoshey, Oleksiy; Rovenska, Olga
Kustantaja: Springer Science and Business Media LLC
Julkaisuvuosi: 2025
Journal: Journal of Mathematical Sciences
Tietokannassa oleva lehden nimi: Journal of Mathematical Sciences
Vuosikerta: 288
Numero: 2
Aloitussivu: 182
Lopetussivu: 198
ISSN: 1072-3374
eISSN: 1573-8795
DOI: https://doi.org/10.1007/s10958-025-07676-6
Verkko-osoite: https://doi.org/10.1007/s10958-025-07676-6
Preprintin osoite: https://arxiv.org/abs/2502.01260
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.
Julkaisussa olevat rahoitustiedot:
The first author was supported by grant 359772 of the Academy of Finland.
