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Weak Domination Number of Corona Graphs

S Vaidya, S Karkar
Mathematics Today   unpublished
Let G = (V, E) be a graph and uv ∈ E be an edge then v weakly dominates u if deg(v) ≤ deg(u). A set S is a weak dominating set (wd − set) if every vertex u ∈ V − S is weakly dominated by some v in S. The weak domination number γ w (G) of G is the minimum cardinality of a weak dominating set. We investigate weak domination number of some corona related graphs.