p-Graphs Associated with Some Groups and Vice Versa

Abstract

Given a finite group G  with a subset  where  is a prime. The -graphs denoted by  whose vertices are the elements of  and where two distinct vertices  and  are adjacent if   or . The algebraic structure of such   -graphs has been investigated using Java programming language with NetBeans IDE. Then, a method is proposed to convert the graph structure to a group-like form.