arXiv subjects

Abbas Mohammadian

Publications and source records attributed to Abbas Mohammadian.

3 recordsLinked to original sources

arXiv2025

Generalizing the enhanced power graph of a group with respect to automorphisms

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 enhanced power graph. We consider the universal vertices of this graph and when this graph is a complete graph. Finally, we classify when this graph is the empty graph.

math.GR↗

arXiv2025

Triangle-free cyclic conjugacy class graph of a finite group

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.

math.GR↗

arXiv2016

A characterization of Tutte-Coxeter graph

We give a natural generalization of the Tutte-Coxeter graph in a natural way and prove that the Tutte-Coxeter graph is the only vertex-transitive (edge-transitive) graph among all generalized Tutte-Coxeter graphs.

math.CO↗