The hyper edge-Wiener index of corona product of graphs
نویسندگان
1 Department of Mathematics, Tarbiat Modares University, P. O. Box 14115-137, Tehran
2 Tarbiat Modares University
doi
10.22108/toc.2015.6120چکیده
Let $G$ be a simple connected graph. The edge-Wiener index $W_e(G)$ is the sum of all distances between edges in $G$, whereas the hyper edge-Wiener index $WW_e(G)$ is defined as $W{W_e}(G) = {\frac{1}{2}}{W_e}(G) + {\frac{1}{2}} {W_e^{2}}(G)$, where $ {W_e^{2}}(G)= \sum\limits_{\left\{ {f,g} \right\} \subseteq E(G)} {d_e^2(f,g)}$. In this paper, we present explicit formula for the hyper edge-Wiener index of corona product of two graphs. Also, we use it to determine the hyper edge-Wiener index of some chemical graphs.