A bijection between peakless Motzkin paths and LR tableaux

Milan Tenn

A bijection between peakless Motzkin paths and LR tableaux

组合数学 2026-08-13 v1

作者: Milan Tenn

摘要

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 $n\ge 1$ .

引用

@article{arxiv.2608.13401,
  title  = {A bijection between peakless Motzkin paths and LR tableaux},
  author = {Milan Tenn},
  journal= {arXiv preprint arXiv:2608.13401},
  year   = {2026}
}

备注

20 pages