Humps for Dyck and for Motzkin paths
Combinatorics
2010-02-25 v1
Abstract
We calculate the total number of humps in Dyck and in Motzkin paths, and we give Standard-Young-Tableaux-interpretations of the numbers involved. One then observes the intriguing phenomena that the humps-calculations change the partitions in a strip to partitions in a hook.
Keywords
Cite
@article{arxiv.1002.4504,
title = {Humps for Dyck and for Motzkin paths},
author = {A. Regev},
journal= {arXiv preprint arXiv:1002.4504},
year = {2010}
}