### The rainbow connection number of the enhanced power graph of a finite group

#### Abstract

Let *G* be a finite group. The enhanced power graph *Γ*_{G}^{e} of *G* is the graph with vertex set *G* and two distinct vertices are adjacent if they generate a cyclic subgroup of G. In this article, we calculate the rainbow connection number of *Γ*_{G}^{e}.

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PDFDOI: http://dx.doi.org/10.5614/ejgta.2023.11.1.19

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