Some distributions in increasing and flattened permutations
Combinatorics
2024-10-22 v1
Abstract
We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing and flattened permutations. For each parameter, we provide an exponential generating function for its corresponding distribution and popularity.Additionally, we present one-to-one correspondences between these permutations and some classes of simpler combinatorial objects.
Cite
@article{arxiv.2410.15434,
title = {Some distributions in increasing and flattened permutations},
author = {Jean-Luc Baril and José L. Ramírez},
journal= {arXiv preprint arXiv:2410.15434},
year = {2024}
}