2 papers
math.GR2025
Generalizing the enhanced power graph of a group with respect to automorphisms
Abbas Mohammadian, Ismail Guloglu, Ahmad Erfanian +1
We generalize the enhanced power graph by replacing elements with classes under automorphisms. We show that the connectivity and diameter of this graph is similar to that of the en…
math.GR2025
Triangle-free cyclic conjugacy class graph of a finite group
Mark L. Lewis, Abbas Mohammadian
We generalize the enhanced power graph by replacing elements with conjugacy classes. The main result of this paper is to determine when this graph is triangle-free.