Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$

Details Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$ Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$

2006-01-31

arxiv.org/abs/math/0601758v3

J. Algebraic Combin. 26 (2007), 83-105

Mathematics

Quantum Algebra

20 pages, final version

Scientific paper

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 ${\mathbb Z}_n$, symmetric groups $S_n$ and quantum symmetric
groups $\mathcal Q_n$, 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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