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Graphs having no quantum symmetry

Teodor Banica·Julien Bichon·Gaetan Chenevier
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Abstract

We consider circulant graphs having $p$ vertices, with $p$ prime. To any such graph we associate a certain number $k$, that we call type of the graph. We prove that for $p>>k$ the graph has no quantum symmetry, in the sense that the quantum automorphism group reduces to the classical automorphism group.

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Teodor Banica, Julien Bichon, Gaetan Chenevier. 2006-09-01. Graphs having no quantum symmetry. https://arxiv.org/abs/math/0605257

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