Bijections of Motzkin paths using shifted Riordan decompositions

DOI10.1007/s00373-018-1982-9zbMath1407.05134OpenAlexW2903166375MaRDI QIDQ1733862

Aoife Hennessy

Publication date: 21 March 2019

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-018-1982-9

zbMATH Keywords

Riordan arrayMotzkin pathŁukasiewicz path

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Paths and cycles (05C38)

Related Items (2)

A relation between Schröder paths and Motzkin paths ⋮ Riordan arrays, Łukasiewicz paths and Narayana polynomials

Uses Software

• OEIS

Cites Work

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• Combinatorial aspects of continued fractions
• The Riordan group
• Riordan arrays and combinatorial sums
• Cumulants, lattice paths, and orthogonal polynomials
• Production matrices
• A bijection between ordered trees and 2-Motzkin paths and its many consequences
• Arithmetic into geometric progressions through Riordan arrays
• Riordan group involutions

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