On the hull sets and hull number of the cartesian product of graphs

@article{Cagaanan2004OnTH,
title={On the hull sets and hull number of the cartesian product of graphs},
author={Gilbert B. Cagaanan and S. Canoy},
journal={Discret. Math.},
year={2004},
volume={287},
pages={141-144}
}

For a connected graph G, the convex hull of a subset C of V(G) is defined as the smallest convex set in G containing C. A subset C of V(G) is a hull set in G if the convex hull of C is V(G). The cardinality of a minimum hull set in G is called the hull number of G. Chartrand, Harary and Zhang (2000) presented the hull number of the Cartesian product of a nontrivial connected graph and K2. In this paper, we give the hull number of the Cartesian product of any two connected graphs.