Ultrametric spaces generated by labeled star graphs




Dovgoshey, Oleksiy; Rovenska, Olga

PublisherSpringer Science and Business Media LLC

2025

Journal of Mathematical Sciences

Journal of Mathematical Sciences

288

2

182

198

1072-3374

1573-8795

DOIhttps://doi.org/10.1007/s10958-025-07676-6(external)

https://doi.org/10.1007/s10958-025-07676-6(external)

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.



The first author was supported by grant 359772 of the Academy of Finland.


Last updated on 2025-31-03 at 12:22