Some remarks on Catalan families

DOI10.1016/S0195-6698(87)80030-6zbMath0641.05003MaRDI QIDQ1100466

Johann Cigler

Publication date: 1987

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

zbMATH Keywords

Catalan familiesn-ary tree

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)

Related Items (9)

Locally oriented noncrossing trees ⋮ Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity ⋮ Refined lattice path enumeration and combinatorial reciprocity ⋮ The \(m\)-Schröder paths and \(m\)-Schröder numbers ⋮ Short factorizations of permutations into transpositions ⋮ Lagrange inversion ⋮ Lattice paths and generalized cluster complexes ⋮ Non-crossing trees, quadrangular dissections, ternary trees, and duality-preserving bijections ⋮ Hopf algebras of \(m\)-permutations, \((m + 1)\)-ary trees, and \(m\)-parking functions

Cites Work

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• A correspondence between ordered trees and noncrossing partitions
• Chain enumeration and non-crossing partitions
• Enumerations of ordered trees
• On generalised Catalan numbers
• Selected papers. Ed. by David Cantor, Basil Gordon, Bruce Rothschild
• A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
• Lagrange inversion

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