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 p-groups with the smallest maximum size for neighborhoods of nontrivial element in its enhanced power graph.
No takes yet. Share an insight, caveat, or question.
Lewis et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: