@misc{10498/30930,
year = {2015},
month = {6},
url = {http://hdl.handle.net/10498/30930},
abstract = {For an ordered subset $S = \{s_1, s_2,\dots s_k\}$ of vertices in a connected graph $G$, the metric representation of a vertex $u$ with respect to the set $S$ is the $k$-vector $ r(u|S)=(d_G(v,s_1), d_G(v,s_2),\dots,$ $d_G(v,s_k))$, where $d_G(x,y)$ represents the distance between the vertices $x$ and $y$. The set $S$ is a metric generator for $G$ if every two different vertices of $G$ have distinct metric representations with respect to $S$. A minimum metric generator is called a metric basis for $G$ and its cardinality, $dim(G)$, the metric dimension of $G$. It is well known that the problem of finding the metric dimension of a graph is NP-Hard.  In this paper we obtain closed formulae and tight bounds for the metric dimension of strong product graphs.},
keywords = {Metric generator},
keywords = {metric basis},
keywords = {metric dimension},
keywords = {strong product graph},
keywords = {resolving set},
title = {The metric dimension of strong product graphs},
author = {Rodríguez Velázquez, Juan A. and Kuziak, Dorota and González Yero, Ismael and Sigarreta Almira, José M.},
}