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
Pages
12
From page
1
To page
12
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
Serial Year
2019
Full Text URL
Record number
2599517
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