SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP

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International Electronic Journal of Algebra
Volume: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 ASHRAFİ

Pages : 1-12

Doi:10.24330/ieja.586838

View : 18 | Download : 13

Publication Date : 2019-07-11

Article Type : Research Paper

Abstract :Let G be a finite group. The main supergraph Sinsert ignore into journalissuearticles values(G); is a graph with vertex set G in which two vertices x and y are adjacent if and only if oinsert ignore into journalissuearticles values(x);|oinsert ignore into journalissuearticles values(y); or oinsert ignore into journalissuearticles values(y);|oinsert ignore into journalissuearticles values(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

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