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arXiv · 2608.13401

A bijection between peakless Motzkin paths and LR tableaux

Milan Tenn
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Abstract

We prove the conjecture of Donnelly et al. that a certain class of Littlewood-Richardson tableaux are equinumerous with peakless Motzkin paths of length $n$. Furthermore, we construct an explicit bijection between this class of tableaux and peakless Motzkin paths of length $n$ for all $n\ge 1$.

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Milan Tenn. 2026-08-13. A bijection between peakless Motzkin paths and LR tableaux. https://arxiv.org/abs/2608.13401

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