Tree covers of size $2$ for the Euclidean plane

Artur Bikeev, Andrey Kupavskii, Maxim Turevskii

For a given metric space $(P,\varphi )$, a tree cover of stretch $t$ is a collection of trees on $P$ such that edges $(x,y)$ of trees receive length $\varphi (x,y)$, and such that for any pair o…