The total co-independent domination number of some graph operations

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2022-06Department
MatemáticasSource
Revista de la Unión Matemática Argentina, Vol. 63, Núm. 1, 2022, pp. 153-168Abstract
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
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