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A pair $x$, $y$ of vertices in a nontrivial connected graph $G$ is said to geodominate a vertex $v$ of $G$ if either $v \in \{x, y\}$ or $v$ lies in an $x - y$ geodesic of $G$. A set $S$ of vertices of $G$ is a geodominating set if every vertex of $G$ is geodominated by some pair of vertices of $S$. In this paper we study strong geodomination in a graph $G$.
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