On Powers of Some Graph Operations

نویسندگان

  • Hamdy Mohamed Hafez Department of Basic science, Faculty of Computers and Information, Fayoum University, Fayoum 63514, Egypt
  • Mohamed Seoud Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
چکیده مقاله:

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

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عنوان ژورنال

دوره 3  شماره 1

صفحات  31- 43

تاریخ انتشار 2018-06-01

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