Reconstructing Young tableaux

Reconstructing Young tableaux

This paper completely characterizes the standard Young tableaux that can be reconstructed from their sets or multisets of 1-minors. In particular, any standard Young tableau with at least 5 entries can be reconstructed from its set of 1-minors.

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Veröffentlicht in:Journal of combinatorial theory. Series A 2022-04, Vol.187, p.105578, Article 105578
Hauptverfasser: Cain, Alan J., Lehtonen, Erkko
Format: Artikel
Sprache:eng
Schlagworte:
Jeu de taquin
Minor
Reconstruction
Young tableau
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Beschreibung
Zusammenfassung:This paper completely characterizes the standard Young tableaux that can be reconstructed from their sets or multisets of 1-minors. In particular, any standard Young tableau with at least 5 entries can be reconstructed from its set of 1-minors.
ISSN:0097-3165
1096-0899
DOI:10.1016/j.jcta.2021.105578