The orbit graph of finite non-Abelian groups

• Main Authors: Omer, Sanaa Mohamed Saleh, Sarmin, Nor Haniza, Erfanian, Ahmad
• Format: Article
• Published: Academic Press 2015
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/58975/; http://dx.doi.org/10.12732/ijpam.v102i4.12
• Institution: Universiti Teknologi Malaysia

Let G be a finite non-abelian group and let Ω be a set of elements of G. Let A be the set of commuting elements in Ω, i.e A = {v ∈ Ω : vg = gv, g ∈ G}. In this paper, we extend the work on conjugate graph by defining a new graph called the orbit graph, denoted as ΓGΩ. The vertices of ΓGΩ are non cen...