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math.CO2024
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…
math.CO2023
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…
math.CO2022
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…