Some Results On Power Graph Of Finite Cyclic
Group

A.Manisekar; A.Mageswari; M.V.Suresh

doi:https://doi.org/10.14445/22315373/IJMTT-V65I6P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 6 | Year 2019 | Article Id. IJMTT-V65I6P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I6P511

Some Results On Power Graph Of Finite Cyclic Group

A.Manisekar, A.Mageswari, M.V.Suresh

Abstract

Let be a group. The power graph (𝐺) of G is a graph with vertex set V(𝑃(𝐺)) = 𝐺 and two distinct vertices x and y are adjacent in 𝑃(𝐺) if and only if either 𝑥𝑖 = 𝑦 or 𝑦𝑗 = 𝑥, where 2 ≤ 𝑖, 𝑗 ≤ 𝑛. We discuss some graph theoretical properties of power graph for some classes of finite cyclic group. Further we discuss some domination parameters of power graph for some classes of finite cyclic group.

Keywords

power graph, pan-cyclic, Hamiltonian, domination, chordal graph, split graph, finite group.

References

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Citation :

A.Manisekar, A.Mageswari, M.V.Suresh, "Some Results On Power Graph Of Finite Cyclic Group," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 6, pp. 67-70, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I6P511