Abstract
Let Γ (W) be the Cayley graph of a finite Weyl groupoid . In this paper, we show an existence of a Hamiltonian cycle of Γ (W) for any . We exactly draw a Hamiltonian cycle of Γ (W) for any (resp. some) irreducible of rank three (resp. four). Moreover for the irreducible of rank three, we give a second largest eigenvalue of the adjacency matrix of Γ (W), and know if Γ(W) is a bipartite Ramanujan graph or not.
Original language | English |
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Article number | 2650054 |
Journal | Journal of Algebra and its Applications |
DOIs | |
State | Accepted/In press - 2024 |
Keywords
- Hamiltonian cycle
- Lie superalgebra
- Nichols algebra
- Weyl groupoid
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics