Title of article :
SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP
Author/Authors :
Hamzeh, A. Department of Insurance - General Insurance Research Center, Tehran , Ashrafi, A. R Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Kashan
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
Journal title :
International Electronic Journal of Algebra
