Geodesic
Groups with symmetric non-commuting graphs
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 645-653.

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In this paper we characterize non-abelian finite $2$-generator groups $G$ whose non-commuting graphs are $\mathrm{Aut}(G)$-symmetric. We also find some general results on these groups. These partially answer Problem 31 posed in Peter Cameron's home page, old problems.
Keywords: non-commuting graph, symmetric graphs.
Mots-clés : automorphism group 
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     title = {Groups with symmetric non-commuting graphs},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a2/}
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A. Abdollahi. Groups with symmetric non-commuting graphs. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 645-653. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a2/