On the center of distances of finite ultrametric spaces

Oleksiy Dovgoshey, Olga Rovenska

The center of distances of a metric space $(X,d)$ is the set $C(X)$ of all $t\in {\mathbb{R}}^{+}$ for which the equation $d(x,p)=t$ has a solution for each $p\in X$. We prove the inequ…