Geodesic
The hull number of strong product graphs
Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 3, pp. 493-507

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For a connected graph G with at least two vertices and S a subset of vertices, the convex hull [S]_G is the smallest convex set containing S. The hull number h(G) is the minimum cardinality among the subsets S of V(G) with [S]_G = V(G). Upper bound for the hull number of strong product G ⊠ H of two graphs G and H is obtainted. Improved upper bounds are obtained for some class of strong product graphs. Exact values for the hull number of some special classes of strong product graphs are obtained. Graphs G and H for which h(G⊠ H) = h(G)h(H) are characterized.
Keywords: strong product, geodetic number, hull number, extreme hull graph 
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Santhakumaran, A.; Ullas Chandran, S. The hull number of strong product graphs. Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 3, pp. 493-507. http://geodesic.mathdoc.fr/item/DMGT_2011_31_3_a5/