Oscillating rim hook tableaux and colored matchings

DOI10.1016/j.aam.2011.06.007zbMath1237.05011arXiv1105.4306OpenAlexW2019291120MaRDI QIDQ408123

Peter L. Guo, William Y. C. Chen

Publication date: 29 March 2012

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4306

zbMATH Keywords

bijectionlattice path\(m\)-colored matchingDyck path packingoscillating \(m\)-rim hook tableau

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Permutations, words, matrices (05A05) Combinatorial aspects of packing and covering (05B40)

Related Items

Dyck Words, Lattice Paths, and Abelian Borders ⋮ Unnamed Item ⋮ Crossings and nestings for arc-coloured permutations and automation ⋮ Polynomiality of certain average weights for oscillating tableaux ⋮ The cycle descent statistic on permutations

Cites Work

• Unnamed Item
• Random walks in Weyl chambers and the decomposition of tensor powers
• A bijection proving orthogonality of the characters of \(S_ n\)
• A Schensted algorithm for rim hook tableaux
• Shuffle of parenthesis systems and Baxter permutations
• Walks with small steps in the quarter plane
• Automatic Classification of Restricted Lattice Walks
• Longest Increasing and Decreasing Subsequences
• Crossings and nestings of matchings and partitions

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