RT journal article T1 Efficient open domination in graph products A1 Kuziak, Dorota A1 Peterin, Iztok A1 González Yero, Ismael A2 Estadística e Investigación Operativa A2 Matemáticas K1 efficient open domination K1 graph products K1 total domination AB 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 partitionof $V(G)$. We completely describe efficient open domination graphs among lexicographicstrong and disjunctive products of graphs. For the Cartesian product we give a characterization whenone factor is $K_2$. A connection with total domination number is also established SN 1365-8050 YR 2014 FD 2014-03-01 LK http://hdl.handle.net/10498/30894 UL http://hdl.handle.net/10498/30894 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026