1 citations · 1 across the 4 of their papers we have counts for
5 papers
Motzkin paths, 321-avoiding permutations, and standard Young tableaux with rows of equal parity
Ryan Amaral, Ryan J. Amaral, Juan B. Gil +1
Motzkin paths of length and standard Young tableaux (SYT) with cells and at most three rows are both counted by the Motzkin numbers, and many bijections between them are kn…
Rooted bicubic planar maps via Dyck paths
Juan B. Gil, Jackie N. Kaminski
We provide a combinatorial proof of Tutte's decomposition of rooted bicubic planar maps into 3-connected components. Motivated by the framework of Bell transformations, we establis…
On separable permutations and three other pairs in the Schröder class
Juan B. Gil, Oscar A. Lopez, Michael D. Weiner
We study positional statistics for four families of pattern-avoiding permutations counted by the large Schröder numbers. Specifically, we focus on the pairs of patterns $\{2413,314…
A positional statistic for 1324-avoiding permutations
Juan B. Gil, Oscar A. Lopez, Michael D. Weiner
We consider the class of permutations of size that avoid the pattern 1324 and examine the subset of elements for which ,…
From Dyck paths to standard Young tableaux
Juan B. Gil, Peter R. W. McNamara, Jordan O. Tirrell +1
We present nine bijections between classes of Dyck paths and classes of standard Young tableaux (SYT). In particular, we consider SYT of flag and rectangular shapes, we give Dyck p…