On Powers of Some Graph Operations

Document Type : Original Scientific Paper


1 Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

2 Department of Basic science, Faculty of Computers and Information, Fayoum University, Fayoum 63514, Egypt


Let 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 Gr, Hrand Gr*Hr, when * is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation (G*H)r=Gr*Hr. We also compute the Wiener index and Wiener polarity index of the skew product.


Main Subjects

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