Resumen de The total co-independent domination number of some graph operations

Abel Cabrera Martínez, Suitberto Cabrera, Iztok Peterin, Ismael González Yero

• A set D of vertices of a graph G is a total dominating set if every vertex of G is adjacent to at least one vertex of D. The total dominating set D is called a total co-independent dominating set if the subgraph induced by V (G) − D is edgeless. The minimum cardinality among all total co-independent dominating sets of G is the total co-independent domination number of G. In this article we study the total co-independent domination number of the join, strong, lexicographic, direct and rooted products of graphs.