Andrea Lucchini

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20242026

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math.CO2026

On the finite group whose proper enhanced power graph is claw-free

Sudip Bera, Andrea Lucchini

Let $G$ be a finite group. The \emph{enhanced power graph} of $G$ , denoted by $E (G)$ , is the graph with vertex set $G$ in which two vertices $u$ and $v$ are adjacent if a…

math.GR2026

2-covering numbers of some finite solvable groups

Andrea Lucchini

A 2-covering for a finite group $G$ is a set of proper subgroups of $G$ such that every pair of elements of $G$ is contained in at least one subgroup in the set. The minimal number…