Some combinatorial interpretations of \(q\)-analogs of Schröder numbers

DOI10.1007/BF01608782zbMath0934.05008OpenAlexW2327812169MaRDI QIDQ1306593

Renzo Pinzani, Elisa Pergola, Elena Barcucci, Alberto del Lungo

Publication date: 10 April 2000

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01608782

zbMATH Keywords

\(q\)-analoguesgenerating functionpolyominoesSchröder numbersnumber of permutationspatternsSchröder paths

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Polyominoes (05B50)

Related Items (12)

Bijections and the Riordan group ⋮ ANISOTROPIC STEP, SURFACE CONTACT, AND AREA WEIGHTED DIRECTED WALKS ON THE TRIANGULAR LATTICE ⋮ Degenerate flag varieties: moment graphs and Schröder numbers ⋮ Solving multivariate functional equations ⋮ A relation between Schröder paths and Motzkin paths ⋮ A note on: rectangular Schröder parking functions combinatorics ⋮ Riordan arrays, Łukasiewicz paths and Narayana polynomials ⋮ Approximating algebraic functions by means of rational ones ⋮ A general exhaustive generation algorithm for Gray structures ⋮ Catalan and Schröder permutations sortable by two restricted stacks ⋮ On the equivalence problem for succession rules ⋮ An algebraic characterization of the set of succession rules

Cites Work

• Unnamed Item
• Walks, walls, wetting, and melting
• Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
• A methodology for plane tree enumeration
• New results for directed vesicles and chains near an attractive wall
• Exact scaling behavior of partially convex vesicles
• Percolation models and animals
• A method for the enumeration of various classes of column-convex polygons
• Critical exponents from nonlinear functional equations for partially directed cluster models
• Deux propriétés combinatoires des nombres de Schröder

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