The Dyck pattern poset
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Publication:394536
DOI10.1016/j.disc.2013.12.011zbMath1281.05009arXiv1303.3785OpenAlexW2086582845MaRDI QIDQ394536
Antonio Bernini, Benjamin Gunby, Luca Ferrari, Axel Bacher, Julian West, Renzo Pinzani
Publication date: 27 January 2014
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.3785
Related Items (17)
On the generating functions of pattern-avoiding Motzkin paths ⋮ Patterns in Shi tableaux and Dyck paths ⋮ Enumerative combinatorics of intervals in the Dyck pattern poset ⋮ The vectorial kernel method for walks with longer steps ⋮ Generating functions for lattice paths with several forbidden patterns ⋮ A general theory of Wilf-equivalence for Catalan structures ⋮ A 2D non-overlapping code over a \(q\)-ary alphabet ⋮ On the Möbius function and topology of general pattern posets ⋮ Pattern posets ⋮ Enumerating symmetric and asymmetric peaks in Dyck paths ⋮ Symmetric peaks and symmetric valleys in Dyck paths ⋮ Water capacity of Dyck paths ⋮ Pattern statistics in faro words and permutations ⋮ Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata ⋮ Hilbert series in the category of trees with contractions ⋮ Pattern distributions in Dyck paths with a first return decomposition constrained by height ⋮ Enumeration of some classes of pattern avoiding matchings, with a glimpse into the matching pattern poset
Uses Software
Cites Work
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- Non-contiguous pattern avoidance in binary trees
- Avoidance of partitions of a three-element set
- Pattern avoidance in binary trees
- On \(abab\)-free and \(abba\)-free set partitions
- Balanced binary trees in the Tamari lattice
- Ordering by Divisibility in Abstract Algebras
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