- International Electronic Journal of Algebra
- Vol: 26 Issue: 26
- SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP
SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP
Authors : A. Hamzeh, A. R. Ashrafi
Pages : 1-12
Doi:10.24330/ieja.586838
View : 14 | Download : 8
Publication Date : 2019-07-11
Article Type : Research
Abstract :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.Keywords : Power graph, main supergraph, 2-connectivity, Hamiltonian