On the Steiner $k$-diameter and Steiner ($k,k^{\prime }$)-radius of trees

Qingnan Zhang, Yingzhi Tian

Given a connected graph $G=(V,E)$ and a $k$-set $S\subseteq V(G)$, the $Steiner$ $distance$ $d_G(S)$ of $S$ is defined as the size of a minimum tree including $S$ in $G$. The $St…