3 papers
math.NT2026
On bi-periodic Padovan and Perrin quaternions over finite fields
Diana Savin, Elif Tan
In this paper, we investigate bi-periodic Padovan and bi-periodic Perrin quaternions in the quaternion algebra Q_Zp. We introduce the bi-periodic Perrin sequence and clarify its st…
math.CO2025
On Companion sequences associated with Leonardo quaternions: Applications over finite fields
Diana Savin, Elif Tan
It is known that the quaternion algebras are central simple algebras and also clifford algebras. In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quat…
math.CO2024
Weighted Padovan graphs
Vesna IrÅ¡iÄ Chenoweth, Sandi Klavžar, Gregor Rus +1
Weighted Padovan graphs , , , are introduced as the graphs whose vertices are all Pado…