Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902973 | Discrete Mathematics | 2018 | 9 Pages |
Abstract
We study the enumeration of Dyck paths having a first return decomposition with special properties based on a height constraint. We exhibit new restricted sets of Dyck paths counted by the Motzkin numbers, and we give a constructive bijection between these objects and Motzkin paths. As a byproduct, we provide a generating function for the number of Motzkin paths of height k with a flat (resp. with no flats) at the maximal height.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jean-Luc Baril, Sergey Kirgizov, Armen Petrossian,