University of Isfahan Transactions on Combinatorics 2251-8657 4 3 2015 09 01 The hyper edge-Wiener index of corona product of graphs 1 9 6120 10.22108/toc.2015.6120 EN Abolghasem Soltani Tarbiat Modares University Ali Iranmanesh Department of Mathematics, Tarbiat Modares University, P. O. Box 14115-137, Tehran Journal Article 2014 08 17 ‎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. https://toc.ui.ac.ir/article_6120_14eb47098c31ddeae0b988643a3d37a4.pdf