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We study Hamilton circuits of the Cayley graphs of the Weyl groupoids of thegeneralized quantum groups, or the quantum double of the Nichols algebras ofdiagonal-type, with finite root systems. We prove the existence of a Hamiltoncircuit for any of them and explicitly draw one of them for rank 3 and 4 cases.

Hamilton circuits of Cayley graphs of Weyl groupoids of generalized quantum groups