Positive and negative chains in charged moon polyominoes

DOI10.1016/j.aam.2013.06.001zbMath1281.05045OpenAlexW2135469025MaRDI QIDQ395200

Andrew Y. Z. Wang, Catherine Huafei Yan

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.aam.2013.06.001

zbMATH Keywords

chainspolyominochargesymmetric distribution

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Polyominoes (05B50)

Related Items (3)

Derangements on a Ferrers board ⋮ Chains of length 2 in fillings of layer polyominoes ⋮ Maximal increasing sequences in fillings of almost-moon polyominoes

Cites Work

• Increasing and decreasing sequences in fillings of moon polyominoes
• Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes
• On the symmetry of the distribution of \(k\)-crossings and \(k\)-nestings in graphs
• Linked partitions and linked cycles
• A spherical initial ideal for Pfaffians
• \(k\)-noncrossing and \(k\)-nonnesting graphs and fillings of Ferrers diagrams
• Ascents and descents in 01-fillings of moon polyominoes
• Major index for 01-fillings of moon polyominoes
• Distribution of crossings, nestings and alignments of two edges in matchings and partitions
• Generalized triangulations and diagonal-free subsets of stack polyominoes
• Crossings and alignments of permutations
• Mixed Statistics on 01-Fillings of Moon Polyominoes
• Crossings and nestings of matchings and partitions
• Crossings and Nestings of Two Edges in Set Partitions
• On Identities Concerning the Numbers of Crossings and Nestings of Two Edges in Matchings

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