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A decomposition of m-Dyck paths

2025/08/17 by Yuhan Jiang, Yuqin Jiang, Jiang, Yuhan
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Polynomial and algebraic computation #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2508.12521

Abstract

We construct a decomposition of an m-Dyck path into an m-tuple of Dyck paths such that the area sequence and bounce sequence of the m-Dyck path are entrywise the sum of the area sequences and bounce sequences of the Dyck paths in the tuple.

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