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On neighborhoods in the enhanced power graph associated with a finite group (2408.16545v1)
Published 29 Aug 2024 in math.GR
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 $p$-groups with the smallest maximum size for neighborhoods of nontrivial element in its enhanced power graph.
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