Hamiltonian cycles for finite Weyl groupoids

Takato Inoue, Hiroyuki Yamane*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number2650054
JournalJournal of Algebra and its Applications
DOIs
StateAccepted/In press - 2024

Keywords

  • Hamiltonian cycle
  • Lie superalgebra
  • Nichols algebra
  • Weyl groupoid

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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