The hyper edge-Wiener index of corona product of graphs

‎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{۱}{۲}}{W_e}(G)‎ + ‎{\frac{۱}{۲}} {W_e^{۲}}(G)‎, ‎where {W_e^{۲}}(G)= \sum\limits_{\left\{ {f,g} \right\}‎ ‎\subseteq E(G)} {d_e^۲(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.

Keywords:

Distance , Topological index , Hyper edge-Wiener index , Corona product