GROUPOIDS AND FIBONACCI NUMBERS THROUGH CYCLE COVERS
Kodjo Essonana Magnani · JP Journal of Algebra Number Theory and Applications · 2025
In this article, we characterize some groupoids of Brandt related to Fibonacci numbers. To this end, considering a groupoid G, we compute the number of symmetric subsets having the same cardinality with its unit space. For this computation, we use cycle covers of the quiver associated with G. Finally, we define analogue of toggle maps on these cycle covers.