Dyck paths with catastrophes modulo the positions of a given pattern
Combinatorics
2022-09-16 v2 Discrete Mathematics
Abstract
For any pattern of length at most two, we provide generating functions and asymptotic approximations for the number of -equivalence classes of Dyck paths with catastrophes, where two paths of the same length are -equivalent whenever the positions of the occurrences of the pattern are the same.
Keywords
Cite
@article{arxiv.2202.11627,
title = {Dyck paths with catastrophes modulo the positions of a given pattern},
author = {Jean-Luc Baril and Sergey Kirgizov and Armen Petrossian},
journal= {arXiv preprint arXiv:2202.11627},
year = {2022}
}
Comments
25 pages, 14 figures, 1 table