%0 Journal Article %A Kuziak, Dorota %A Peterin, Iztok %A González Yero, Ismael %T Efficient open domination in graph products %D 2014 %@ 1365-8050 %U http://hdl.handle.net/10498/30894 %X A graph $G$ is an efficient open domination graph if there exists a subset $D$ of $V(G)$ for which the open neighborhoods centered in vertices of $D$ form a partition of $V(G)$. We completely describe efficient open domination graphs among lexicographic strong and disjunctive products of graphs. For the Cartesian product we give a characterization when one factor is $K_2$. A connection with total domination number is also established %K efficient open domination %K graph products %K total domination %~ Universidad de Cádiz