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This paper studies the rainbow connection number of the power graph $$\Gamma _G$$ Γ G of a finite group G. We determine the rainbow connection number of $$\Gamma _G$$ Γ G if G has maximal involutions or is nilpotent, and show that the rainbow connection number of $$\Gamma _G$$ Γ G is at most three if G has no maximal involutions. The rainbow connection numbers of power...
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