Involutions on Tip-Augmented Plane Trees for Leaf Interchanging
Combinatorics
2025-02-18 v1
Abstract
This paper constructs two involutions on tip-augmented plane trees, as defined by Donaghey, that interchange two distinct types of leaves while preserving all other leaves. These two involutions provide bijective explanations addressing a question posed by Dong, Du, Ji, and Zhang in their work.
Keywords
Cite
@article{arxiv.2502.10901,
title = {Involutions on Tip-Augmented Plane Trees for Leaf Interchanging},
author = {Laura L. M. Yang and Dax T. X. Zhang},
journal= {arXiv preprint arXiv:2502.10901},
year = {2025}
}