2 problems

Let $r\geq \frac52$ and $n\geq 2r+1$. Let $\overline{\Gamma}_{2r+1}$ be the digraph specified in the paper, and let $\overline{\Gamma}_{n,2r,i,s}$ denote the family obtained by the…

Let $k\geq 2$ be an integer, and let $G$ be a connected graph of order $n\geq k$. The Steiner $k$-diameter $\operatorname{sdiam}_k(G)$ is the maximum Steiner distance over all $k$-…