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SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP
International Electronic Journal of Algebra
Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x)|o(y) or o(y)|o(x). In an earlier paper, the main properties of this graph was obtained. The aim of this paper is to investigate the Hamiltonianity, Eulerianness and 2-connectedness of this graph. Mathematics Subject Classification (2010): 05C25, 05C50 An EP P O-group is a group that all elements have prime power order and an EP Ogroup is a group withdoi:10.24330/ieja.586838 fatcat:zphutlzqrbaargyckb5c25jbbq