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A bijection between peakless Motzkin paths and LR tableaux · arXivDesk

2608.13401Aug 13, 202620 pages

A bijection between peakless Motzkin paths and LR tableaux

Milan Tenn

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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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.

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The paper addresses: A bijection between peakless Motzkin paths and LR tableaux.
We prove the conjecture of Donnelly et al.

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Author comment: 20 pages

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