Abstract:In a graph G, a vertex dominates itself and its neighbors. A subset S of V is called a dominating set in G if every vertex in V is dominated by at least one vertex in S. The domination number γ(G) is the minimum cardinality of a dominating set. A set S ⊆ V is called a double dominating set of a graph G if every vertex in V is dominated by at least two vertices in S. The minimum cardinality of a double dominating set is called double domination number of G. The connectivity γ(G) of a connected graph G is the mi… Show more
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