Induced-paired Domatic Numbers of Graphs
نویسندگان
چکیده
A subset D of the vertex set V (G) of a graph G is called dominating in G, if each vertex of G either is in D, or is adjacent to a vertex of D. If moreover the subgraph 〈D〉 of G induced by D is regular of degree 1, then D is called an induced-paired dominating set in G. A partition of V (G), each of whose classes is an induced-paired dominating set in G, is called an induced-paired domatic partition of G. The maximum number of classes of an induced-paired domatic partition of G is the induced-paired domatic number dip(G) of G. This paper studies its properties.
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