A Very Short (Bijective!) Proof of Touchard's Catalan Identity
Amitai Regev, Nathaniel Shar, and Doron Zeilberger
TL;DR
This paper presents a concise, bijective proof of Touchard's Catalan identity utilizing Dyck paths, simplifying the understanding of this combinatorial identity.
Contribution
It introduces a novel, short bijective proof of Touchard's Catalan identity based on Dyck paths, enhancing combinatorial proof techniques.
Findings
Provides a concise bijective proof of Touchard's Catalan identity
Utilizes Dyck paths to establish the proof
Simplifies understanding of the combinatorial identity
Abstract
A very short, bijective proof, of Touchard's Catalan identity is given, using Dyck paths.
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Taxonomy
TopicsLinguistics and language evolution · Historical Linguistics and Language Studies