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Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups

Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups

Let G be a finite group. The power graph P(G) and its main supergraph S(G) are two simple graphs with the same vertex set G. Two elements x,y ? G are adjacent in the power graph if and only if one is a power of the other. They are joined …