Compact ultrametric spaces generated by labeled star graphs
: Dovgoshey, Oleksiy; Cantor, Omer; Rovenska, Olga
Publisher: Combinatorial Press
: 2025
Online Journal of Analytic Combinatorics
: 1
: 20
: 1
: 19
: 1931-3365
DOI: https://doi.org/10.61091/ojac20-01
: https://doi.org/10.61091/ojac20-01
: https://research.utu.fi/converis/portal/detail/Publication/500425431
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.
:
Oleksiy Dovgoshey was supported by grant 359772 of the Academy of Finland.
Omer Cantor was supported by grant 721/24 of the Israeli Science Foundation.
