Geodesic
Edge-maximality of power graphs of finite cyclic groups
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 2, pp. 313-330.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We show that among all finite groups of any given order, the cyclic group of that order has the maximum number of edges in its power graph.
Classification : 05C25
Keywords: cyclic group, $p$-group, greatest prime divisor, least prime divisor 
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Curtin, Brian; Pourgholi, G.R. Edge-maximality of power graphs of finite cyclic groups. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 2, pp. 313-330. http://geodesic.mathdoc.fr/item/JAC_2014__40_2_a10/