A simple and unusual bijection for Dyck paths and its consequences
Combinatorics
2007-05-23 v1
Abstract
In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of pattern-avoiding permutations into classical statistics on Dyck paths, whose distribution is easy to obtain. We also present a generalization of the bijection, as well as several applications of it to enumeration problems of statistics in restricted permutations.
Cite
@article{arxiv.math/0306125,
title = {A simple and unusual bijection for Dyck paths and its consequences},
author = {Sergi Elizalde and Emeric Deutsch},
journal= {arXiv preprint arXiv:math/0306125},
year = {2007}
}
Comments
13 pages, 8 figures, submitted to Annals of Combinatorics