Author/Authors :
Abdolghafourian، Adeleh نويسنده Department of Mathematics,Yazd University,Yazd,Iran , , Iranmanesh، Mohammad A. نويسنده Department of Mathematics,Yazd University,Yazd,Iran ,
Abstract :
The divisibility graph D(G) for a finite group GG is a graph with vertex set cs(G)∖{1} where cs(G) is the set of conjugacy class sizes of GG. Two vertices aa and bb are adjacent whenever aa divides bb or bb divides aa. In this paper we will find the number of connected components of D(G) where GG is a simple Zassenhaus group or an sporadic simple group.
