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A dominating set of a graph G = (V, E) is a subset D of V such that every vertex of V − D is adjacent to a vertex in D. In this paper we introduce a generalization of domination as follows. For graphs G and H, an H-matching M of G is a subgraph of G such that all components of M are isomorphic to H. An H-dominating matching of G is a H-matching D of G such(More)
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