Quantum symmetries of Cayley graphs of abelian groups

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Quantum symmetries of Cayley graphs of abelian groups

Gromada, Daniel

Glasgow mathematical journal, 09/2023, Volume: 65, Issue: 3

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We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a general strategy for determining the quantum automorphism groups of such graphs. Applying this procedure, we find the quantum symmetries of the halved cube graph, the folded cube graph, and the Hamming graphs.

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