3 papers
math.CO2026
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 $\{2413,31…
math.CO2024
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 ,…
math.CO2024
Pattern-avoiding stabilized-interval-free permutations
Daniel Birmajer, Juan B. Gil, Jordan O. Tirrell +1
In this paper, we study pattern avoidance for stabilized-interval-free (SIF) permutations. These permutations are contained in the set of indecomposable permutations and in the set…