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Involutions on Tip-Augmented Plane Trees for Leaf Interchanging

2025/02/15 by Laura L. M. Yang, Yang, Laura L. M., Dax T. X. Zhang +1
Agricultural and Biological Sciences · Engineering · #Combinatorics (math.CO) #FOS: Mathematics #Plant Surface Properties and Treatments #Tree Root and Stability Studies

paper · pdf · doi:10.48550/arxiv.2502.10901

openalex publication_date 2025/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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