English

A Bijection between Unbalanced Dyck Path and NE Lattice Path

General Mathematics 2023-06-09 v2

Abstract

Lattice paths are important tools on solving some combinatorial identities. This note gives a new bijection between unbalanced Dyck path (a path that never reaches the diagonal of the lattice) and NE (North and East only) lattice path from (0,0) to (n,n) by several partial reflections.

Keywords

Cite

@article{arxiv.2306.04453,
  title  = {A Bijection between Unbalanced Dyck Path and NE Lattice Path},
  author = {Yannan Qian},
  journal= {arXiv preprint arXiv:2306.04453},
  year   = {2023}
}

Comments

4 pages, 4 figures

R2 v1 2026-06-28T10:58:53.117Z