University of KashanMathematics Interdisciplinary Research2538-36393120180601On Powers of Some Graph Operations31435710110.22052/mir.2018.85618.1062ENMohamedSeoudDepartment of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, EgyptHamdyMohamed HafezDepartment of Basic science, Faculty of Computers and Information, Fayoum University, Fayoum 63514, EgyptJournal Article20170511Let G*H be the product * of G and H. In this paper we determine the rth power of the graph G*H in terms of G<sup>r</sup>, H<sup>r</sup>and G<sup>r</sup>*H<sup>r</sup>, when * is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation (G*H)<sup>r</sup>=G<sup>r</sup>*H<sup>r</sup>. We also compute the Wiener index and Wiener polarity index of the skew product.https://mir.kashanu.ac.ir/article_57101_b1f55afe12af7374ddf09f2ea47cbc9e.pdf