3 papers
math.CO2019
Elliptic and -Analogs of the Fibonomial Numbers
Nantel Bergeron, Cesar Ceballos, Josef Küstner
In 2009, Sagan and Savage introduced a combinatorial model for the Fibonomial numbers, integer numbers that are obtained from the binomial coefficients by replacing each term by it…
math.CO2019
The Steep-Bounce Zeta Map in Parabolic Cataland
Cesar Ceballos, Wenjie Fang, Henri Mühle
As a classical object, the Tamari lattice has many generalizations, including -Tamari lattices and parabolic Tamari lattices. In this article, we unify these generalizations in…
math.CO2018
Signature Catalan Combinatorics
Cesar Ceballos, Rafael S. González D'León
The Catalan numbers constitute one of the most important sequences in combinatorics. Catalan objects have been generalized in various directions, including the classical Fuss-Catal…