Metraipolis › archive › dc_2c8f4e803c8e

A bijection between peakless Motzkin paths and LR tableaux — arXiv:2608.13401

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.13401
License (as archived): CC0-1.0
Archived: 2026-10-19T04:50:25.880Z
SHA-256 of the archived text: 44eceafadbcde37693db9923d7cfe947e59dc5881c3c7f45b97eb60c9616d3de
Stable URL of this page: https://metraipolis.com/documento/dc_2c8f4e803c8e

How to cite

A bijection between peakless Motzkin paths and LR tableaux — arXiv:2608.13401 — arXiv (en), https://arxiv.org/abs/2608.13401 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2c8f4e803c8e (Metraipolis archive dc_2c8f4e803c8e, sha256 44eceafadbcde37693db9923d7cfe947e59dc5881c3c7f45b97eb60c9616d3de)

BibTeX

@misc{dc2c8f4e803c8e,
  title = {A bijection between peakless Motzkin paths and LR tableaux — arXiv:2608.13401},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.13401},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2c8f4e803c8e; sha256 44eceafadbcde37693db9923d7cfe947e59dc5881c3c7f45b97eb60c9616d3de},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.13401. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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 $n\ge 1$.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-14 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2608.13401 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-19T04:28:16.175Z dalla pagina https://arxiv.org/catchup/math.CO/2026-08-14?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).