两个图的corona乘积图的Wiener极性指标

图G=（V,E）的Wiener极性指标是图G中距离为3的无序点对的数目。图G和H的点corona图,记为G°H是取G的一个拷贝和｜V（G）个H的拷贝,然后把G的每个点和其相对应拷贝的每个点相连而得到的图。图G和H的边corona图,记为G◇H,是取G的一个拷贝和｜E（G）｜个H的拷贝,然后把G的每条边的两个点和其相对应拷贝的每个点相连而得到的图。本文给出两个图的corona乘积图的Wiener极性指标。

On The Wiener Polarity Index of The Corona of Two Graphs

The Wiener polarity index Wp（G） of a Graph G=（V,E） is the number ofunordered pairs of vertices {u,v} of G such that the distance dG（u,v） between u and v is 3. The corona of two graphs G and H, written as G° H, is the graph obtain by taking one copy of G and ｜V（G）｜ copies of H, and then joining the/th vertex of G to every vertex in the/th copy of H. The edge corona of G and H, written as G◇H, is the graph obtained by taking one copy of G｜E（G）｜copies of H and then joining the end vertices of the edge e of G to every vertex of the corresponding copy He of H. In this paper we determine the Wiener polarity indexes of the corona and edge corona of two graphs.