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In this paper we constructed a connected graph with a preassigned order, weakly convex domination number, convex domination number, weakly connected independent domination number, and upper weakly connected independent domination number; characterized the weakly convex set, the weakly convex dominating set, and the weakly connected independent dominating set of the corona graph. As direct consequence, the weakly convexity number, weakly convex domination number, and the weakly connected independent domination number of this graph were obtained. Mathematics Subject Classification: 05C12 1516 Rene E. Leonida and Sergio R. Canoy, Jr.

Weakly convex and weakly connected independent dominations in the corona of graphs