Spectrum of the Power Graph of Finite Groups

چکیده مقاله

The power graph P(G) 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 [1,3]. Chattopadhyay and Panigrahi [2] studied the Laplacian spectrum of the power graph of cyclic group Zn and the dihedral group D2n, n 2 is positive integer. They proved that the Laplacian spectrum of P(D2n) is the union of that of P(Zn) and f2n;1g. The aim of this paper is to report our recent results on the spectrum of the power graph of some finite groups.