Standard Young tableaux in a \(( 2 , 1 )\)-hook and Motzkin paths

DOI10.1016/J.DISC.2021.112395zbMath1466.05221OpenAlexW3145442626MaRDI QIDQ2032712

Jingni Yu, Rosena R. X. Du

Publication date: 14 June 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112395

zbMATH Keywords

Motzkin pathsstandard Young tableauxtight 012-words

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of representation theory (05E10)

Uses Software

• OEIS

Cites Work

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• Counting humps in Motzkin paths
• Probabilities in the \((k,l)\) hook
• Standard Young tableaux of height 4 and 5
• The method of creative telescoping
• Asymptotic values for degrees associated with strips of Young diagrams
• Skew-standard tableaux with three rows
• Enumerations of humps and peaks in \((k, a)\)-paths and \((n, m)\)-Dyck paths via bijective proofs
• Bijective counting of humps and peaks in \((k, a)\)-paths
• Counting humps and peaks in generalized Motzkin paths

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