The hyper edge-Wiener index of corona product of graphs

Abstract

‎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)= sumlimits_{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.