%0 Journal Article 
%A Kuziak, Dorota
%A Puertas, María Luz
%A Rodríguez Velázquez, J.A.
%A González Yero, Ismael
%T Strong resolving graphs: the realization and the characterization problems
%D 2018
%@ 0166-218X
%U http://hdl.handle.net/10498/30891
%X 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 on the strong metric dimension of graphs which are using this tool have been published. However, the tool itself  has remained unnoticed as a properly structure. In this paper, we survey the state of knowledge on the strong resolving graphs, and also derive some new results regarding its properties.
%K Strong resolving graph
%K strong metric dimension
%K graphs transformations
%~ Universidad de Cádiz