1 citations · 1 across the 6 of their papers we have counts for
6 papers
Projective Rectangles: The Graph of Lines
Rigoberto Flórez, Thomas Zaslavsky
A projective rectangle is like a projective plane that may have different lengths in two directions. We develop properties of the graph of lines, in which adjacency means having a…
Fibonacci--Theodorus Spiral and its properties
Michael R. Bacon, Charles K. Cook, Rigoberto Flórez +3
Inspired by the ancient spiral constructed by the greek philosopher Theodorus which is based on concatenated right triangles, we have created a spiral. In this spiral, called \emph…
Some Connections Between Restricted Dyck Paths, Polyominoes, and Non-Crossing Partitions
Rigoberto Flórez, José L. Ramírez, Fabio A. Velandia +1
A \emph{Dyck path} is a lattice path in the first quadrant of the -plane that starts at the origin, ends on the -axis, and consists of the same number of North-East steps $U…
Primes and composites in the determinant Hosoya triangle
Hsin-Yun Ching, Rigoberto Flórez, F. Luca +2
In this paper, we look at numbers of the form . These numbers are the entries of a triangular array called the \emph{determinant Hosoya tria…
Activity from matroids to rooted trees and beyond
Rigoberto Flórez, David Forge
The interior and exterior activities of bases of a matroid are well-known notions that for instance permit one to define the Tutte polynomial. Recently, we have discovered correspo…
Honeycombs in the Pascal triangle and beyond
Matthew Blair, Rigoberto Flórez, Antara Mukherjee
In this paper we present a geometric approach to discovering some known and some new identities using triangular arrays. Our main aim is to demonstrate how to use the geometric pat…