2 citations · 2 across the 3 of their papers we have counts for
5 papers
Restricted Dyck Paths on Valleys Sequence
Rigoberto Flórez, Toufik Mansour, José L. Ramírez +2
In this paper we study a subfamily of a classic lattice path, the \emph{Dyck paths}, called \emph{restricted -Dyck} paths, in short -Dyck. A valley of a Dyck path is a lo…
Fibonacci identities from Jordan Identities
Santiago Alzate, Oscar Correa, Rigoberto Flórez
In this paper, we connect two well established theories, the Fibonacci numbers and the Jordan algebras. We give a series of matrices, from literature, used to obtain recurrence rel…
Families of Integral Cographs within a Triangular Arrays
Hsin-Yun Ching, Rigoberto Flórez, Antara Mukherjee
The \emph{determinant Hosoya triangle}, is a triangular array where the entries are the determinants of two-by-two Fibonacci matrices. The determinant Hosoya triangle g…
Matrices in the Hosoya triangle
Matthew Blair, Rigoberto Flórez, Antara Mukherjee
In this paper we use well-known results from linear algebra as tools to explore some properties of products of Fibonacci numbers. Specifically, we explore the behavior of the eigen…
The resultant, the discriminant, and the derivative of generalized Fibonacci polynomials
Rigoberto Flórez, Robinson Higuita, Alexander Ramírez
A second order polynomial sequence is of \emph{Fibonacci-type} (\emph{Lucas-type}) if its Binet formula has a structure similar to that for Fibonacci (Lucas) numbers. Known example…