1 citations · 1 across the 6 of their papers we have counts for
6 papers
Fibonacci and Catalan Numbers Meet in Staircase Polyominoes
Jean-Luc Baril, José Luis Ramírez, Samuel Ramírez +1
We study Fibonacci (staircase) polyominoes, a class of column-convex polyominoes whose lower boundary is a staircase with unit vertical steps. We derive multivariate generating fun…
On the cycle structure of the symmetric tensor power of permutations
Sebastian Caballero, Diego Villamizar
Problem 8.1 in Astaiza et. al. asks about the relationship between the cycle decomposition of a permutation and that of its symmetric tensor power . In this paper,…
Inversions in Colored Permutations, Derangements, and Involutions
Moussa Ahmia, José L. Ramírez, Diego Villamizar
Arslan, Altoum, and Zaarour introduced an inversion statistic for generalized symmetric groups. In this work, we study the distribution of this statistic over colored permutations,…
Enumeration of Colored Tilings on Graphs via Generating Functions
José L. Ramírez, Diego Villamizar
In this paper, we study the problem of partitioning a graph into connected and colored components called blocks. Using bivariate generating functions and combinatorial techniques,…
Counting Colored Tilings on Grids and Graphs
José L. Ramírez, Diego Villamizar
In this paper, we explore some generalizations of a counting problem related to tilings in grids of size 2xn, which was originally posed as a question on Mathematics Stack Exchange…
The Combinatorics of Motzkin Polyominoes
Jean-Luc Baril, Sergey Kirgizov, José L. Ramírez +1
A word over the set of positive integers is a Motzkin word whenever , , and for . It c…