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

Abstract

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

arXiv comment56 pages, 71 figures