Quantum automorphism groups of vertex-transitive graphs of order ≤ 11
Teodor Banica, Julien Bichon
Abstract
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 Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
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