  The strong resolving graph $G_{SR}$ of a connected graph $G$ was introduced
in [Discrete Applied Mathematics 155 (1) (2007) 356--364] as a tool to study
the strong metric dimension of $G$. Basically, it was shown that the problem of
finding the strong metric dimension of $G$ can be transformed to the problem of
finding the vertex cover number of $G_{SR}$. Since then, several articles
dealing with this subject have been published. In this paper, we survey the
state of knowledge on the strong resolving graph and also derive some new
results.
