On the boundary as an $x$-geodominating set in graphs

J. Cáceres, M. Morales, M. L. Puertas

Given a graph $G$ and a vertex $x\in V(G)$, a vertex set $S\subseteq V(G)$ is an $x$-geodominating set of $G$ if each vertex $v\in V(G)$ lies on an $x-y$ geodesic for some element…