
AbstractLet G = (V, E) be a connected graph. A set D ⊂ V is a set‐dominating set (sd‐set) if for every set T ⊂ V − D, there exists a nonempty set S ⊂ D such that the subgraph 〈S ∪ T〉 induced by S ∪ T is connected. The set‐domination number γs(G) of G is the minimum cardinality of a sd‐set. In this paper we develop properties of this new parameter and relate it to some other known domination parameters.
Graph theory, Extremal problems in graph theory, Connectivity, set domination, connected graph, Mathematics, 004, 510
Graph theory, Extremal problems in graph theory, Connectivity, set domination, connected graph, Mathematics, 004, 510
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