On Powers of Some Graph Operations

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Seoud Mohamed A.; Hafez Hamdy Mohamed

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Journal Paper

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Journal: Mathematics Interdisciplinary Research Year:2018 | Volume:3 | Issue:1 Page(s): 31-43

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Title

On Powers of Some Graph Operations

Author(s)

Seoud Mohamed A. | Hafez Hamdy Mohamed | Issue Writer Certificate

Keywords

Graph product

power graphs

graph indices

Abstract

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, Hr and 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.

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APA: Copy

Seoud, Mohamed A., & Hafez, Hamdy Mohamed. (2018). On Powers of Some Graph Operations. MATHEMATICS INTERDISCIPLINARY RESEARCH, 3(1), 31-43. SID. https://sid.ir/paper/353661/en

Vancouver: Copy

Seoud Mohamed A., Hafez Hamdy Mohamed. On Powers of Some Graph Operations. MATHEMATICS INTERDISCIPLINARY RESEARCH[Internet]. 2018;3(1):31-43. Available from: https://sid.ir/paper/353661/en

IEEE: Copy

Mohamed A. Seoud, and Hamdy Mohamed Hafez, “On Powers of Some Graph Operations,” MATHEMATICS INTERDISCIPLINARY RESEARCH, vol. 3, no. 1, pp. 31–43, 2018, [Online]. Available: https://sid.ir/paper/353661/en

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