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In this paper we characterize the convex dominating sets in the composition and Cartesian product of two connected graphs. The concepts of clique dominating set and clique domination number of a graph are defined. It is shown that the convex domination number of a composition of two non-complete connected graphs and is equal to the clique domination number of . The convex domination number of the Cartesian product of two connected graphs is related to the convex domination numbers of the...
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