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The Spectra of power graphs of certain finite groups

Zeinab MehranianDepartment of Mathematics, University of Qom, Qom, I.R. IranAhmad GholamiDepartment of Mathematics, University of Qom, Qom, I.R. IranАли Реза АшрафиDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I.R. Iran
2016en
ABI

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The power graph of a group G is the graph with group elements as vertex set and two elements are adjacent if one is a power of the other. The aim of this paper is to compute the spectrum of the power graph of cyclic groups, dihedral groups, elementary abelian groups of prime power order and the Mathieu group .

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