Geodesic
Independent transversal domination in graphs
Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 1, pp. 5-17

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A set S ⊆ V of vertices in a graph G = (V, E) is called a dominating set if every vertex in V-S is adjacent to a vertex in S. A dominating set which intersects every maximum independent set in G is called an independent transversal dominating set. The minimum cardinality of an independent transversal dominating set is called the independent transversal domination number of G and is denoted by γ_it(G). In this paper we begin an investigation of this parameter.
Keywords: dominating set, independent set, independent transversal dominating set 
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Hamid, Ismail. Independent transversal domination in graphs. Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 1, pp. 5-17. http://geodesic.mathdoc.fr/item/DMGT_2012_32_1_a0/