1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.MG2013★ 1 cited
Ball-preserving mappings of finite ultrametric spaces
E. Petrov
It is shown that the rooted trees and representing finite ultrametric spaces and are isomorphic if and only if there exists a ball-preserving bijection $F:X\to…
math.MG2012
On the Gomori-Hu inequality
E. Petrov, O. Dovgoshey
It was proved by Gomori and Hu in 1961 that for every finite nonempty ultrametric space the following inequality $|\Sp(X)|\leqslant |X|-1$ holds with $\Sp(X)=\{d(x,y):x,y \…
math.MG2012
Weak similarities of metric and semimetric spaces
Oleksiy Dovgoshey, Evgeniy Petrov
Let (X,dX) and (Y,dY) be semimetric spaces with distance sets D(X) and, respectively, D(Y). A mapping F : X \to Y is a weak similarity if it is surjective and there exists a strict…