On neighborhoods in the enhanced power graph associated with a finite group
Group Theory
2024-08-30 v1
Abstract
This article investigates neighborhoods' sizes in the enhanced power graph (as known as the cyclic graph) associated with a finite group. In particular, we characterize finite -groups with the smallest maximum size for neighborhoods of nontrivial element in its enhanced power graph.
Cite
@article{arxiv.2408.16545,
title = {On neighborhoods in the enhanced power graph associated with a finite group},
author = {Mark L. Lewis and Carmine Monetta},
journal= {arXiv preprint arXiv:2408.16545},
year = {2024}
}
Comments
6 pages