%0 Journal Article
%T Strong Geodetic Number in Some Networks | Ge | Journal of Mathematics Research | CCSE
%A Huifen Ge
%A Jinyu Zou
%A Zhao Wang
%J Home | Journal of Mathematics Research | CCSE
%D 2019
%R 10.5539/jmr.v11n2p20
%X A vertex subset S of a graph is called a strong geodetic set if there exists a choice of exactly one geodesic for each pair of vertices of S in such a way that these (|S| 2) geodesics cover all the vertices of graph G. The strong geodetic number of G, denoted by sg(G), is the smallest cardinality of a strong geodetic set. In this paper, we give an upper bound of strong geodetic number of the Cartesian product graphs and study this parameter for some Cartesian product networks
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/0/38529