Geodesic
Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$
Journal of Algebraic Combinatorics, Tome 26 (2007) no. 1, pp. 83-105.

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Summary: We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups $\mathbb Z _{ n} {\mathbb Z}$_n, symmetric groups $S _{ n }$ and quantum symmetric groups $Q _{ n} \mathcal Q$_n, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
Keywords: keywords quantum permutation group, transitive graph 
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Banica, Teodor; Bichon, Julien. Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$. Journal of Algebraic Combinatorics, Tome 26 (2007) no. 1, pp. 83-105. http://geodesic.mathdoc.fr/item/JAC_2007__26_1_a2/