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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 64, Issue 5 , Pages 489 - 507 (September 2025)
http://dx.doi.org/10.17654/0972555525025

GROUPOIDS AND FIBONACCI NUMBERS THROUGH CYCLE COVERS

Kodjo Essonana Magnani

Abstract:

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.

Keywords and phrases:

groupoids, quivers, cycles, permanents, Fibonacci numbers.

Received: March 28, 2025; Revised: May 15, 2025; Accepted: May 27, 2025; Published: July 10, 2025

How to cite this article: Kodjo Essonana Magnani, Groupoids and Fibonacci numbers through cycle covers, JP Journal of Algebra, Number Theory and Applications 64(5) (2025), 489-507. https://doi.org/10.17654/0972555525025

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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