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Graphs having no quantum symmetry. (English) Zbl 1178.05047
Summary: 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 pk the graph has no quantum symmetry, in the sense that the quantum automorphism group reduces to the classical automorphism group.
MSC:
05C25Graphs and abstract algebra
20B25Finite automorphism groups of miscellaneous structures
16T20Ring-theoretic aspects of quantum groups
46L05General theory of C * -algebras