The A۴-graph of some finite groups

چکیده مقاله

Let G be a finite group and D a conjugacy class of elements of order three in G such that G = hi. Define the A4-graph of G with respect to the conjugacy class D, G(G;D), as a simple graph with vertex set... and edge set.... In this paper, the main properties of this new graph are investigated. We also obtain, the A4-graph of an alternating group, and some simple groups.