Quantum symmetries of Cayley graphs of abelian groups
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 655-686
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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.
Mots-clés :
Cayley graph, hypercube graph, Hamming graph, quantum symmetry
Gromada, Daniel. Quantum symmetries of Cayley graphs of abelian groups. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 655-686. doi: 10.1017/S0017089523000198
@article{10_1017_S0017089523000198,
author = {Gromada, Daniel},
title = {Quantum symmetries of {Cayley} graphs of abelian groups},
journal = {Glasgow mathematical journal},
pages = {655--686},
year = {2023},
volume = {65},
number = {3},
doi = {10.1017/S0017089523000198},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000198/}
}
TY - JOUR AU - Gromada, Daniel TI - Quantum symmetries of Cayley graphs of abelian groups JO - Glasgow mathematical journal PY - 2023 SP - 655 EP - 686 VL - 65 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000198/ DO - 10.1017/S0017089523000198 ID - 10_1017_S0017089523000198 ER -
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