10 citations · 21 across the 10 of their papers we have counts for
5 papers · 1 filter
Zeros and Orthogonality of generalized Fibonacci polynomials
Cristian F. Coletti, Rigoberto Flórez, Robinson A. Higuita +1
This paper analyzes the concept of orthogonality in second-order polynomial sequences that have Binet formula similar to that of the Fibonacci and Lucas numbers, referred to as Gen…
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…
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 Projective Planarity Question for Matroids of -Nets and Biased Graphs
Rigoberto Flórez, Thomas Zaslavsky
A biased graph is a graph with a class of selected circles ("cycles", "circuits"), called "balanced", such that no theta subgraph contains exactly two balanced circles. A biased gr…