p-Graphs Associated with Some Groups and Vice Versa

Nooraldeen A. Hatoo, Alaa A. Najim

p-Graphs Associated with Some Groups and Vice Versa

المؤلفون

Nooraldeen A. Hatoo, Alaa A. Najim Department of Mathematics, College of Science, University of Basrah, Basra, Iraq مؤلف

الكلمات المفتاحية:

Finite group, p-graph, Hamiltonian graph, diameter.

الملخص

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.