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arxiv: math/9902029 · v1 · submitted 1999-02-04 · 🧮 math.QA

Quantum automorphism groups of finite graphs

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keywords quantumautomorphismfinitegraphsgroupsgroupdefineddetermine
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We determine the quantum automorphism groups of finite graphs. These are quantum subgroups of the quantum permutation groups defined by Wang. The quantum automorphism group is a stronger invariant for finite graphs than the usual one. We get a quantum dihedral group D4.

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