The distance domination of generalized de Bruijn and Kautz digraphs

Yanxia Dong, Erfang Shan, Xiao Min

Let $G=(V,A)$ be a digraph and $k\ge 1$ an integer. For $u,v\in V$, we say that the vertex $u$ distance $k$-dominate $v$ if the distance from $u$ to $v$ at most $k$. A set $D$ of v…