We investigate neighbourhood sizes in the enhanced power graph (also known as the cyclic graph) associated with a finite group. In particular, we characterise finite p-groups with the smallest maximum size for neighbourhoods of a nontrivial element in its enhanced power graph.
ON NEIGHBOURHOODS in the ENHANCED POWER GRAPH ASSOCIATED with A FINITE GROUP
Lewis M. L.
;Monetta C.
2024
Abstract
We investigate neighbourhood sizes in the enhanced power graph (also known as the cyclic graph) associated with a finite group. In particular, we characterise finite p-groups with the smallest maximum size for neighbourhoods of a nontrivial element in its enhanced power graph.File in questo prodotto:
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