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arXiv · 1801.02942

The Petersen graph has no quantum symmetry

Simon Schmidt
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Abstract

In 2007, Banica and Bichon asked whether the well-known Petersen graph has quantum symmetry. In this article, we show that the Petersen graph has no quantum symmetry, i.e. the quantum automorphism group of the Petersen graph is its usual automorphism group, the symmetric group $S_5$.

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Simon Schmidt. 2018-01-09. The Petersen graph has no quantum symmetry. https://doi.org/10.1112/blms.12154

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