Enumerating symmetric and asymmetric peaks in Dyck paths

DOI10.1016/j.disc.2020.112118zbMath1448.05106OpenAlexW3080525188MaRDI QIDQ2005706

José L. Ramírez, Rigoberto Flórez

Publication date: 8 October 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2020.112118

zbMATH Keywords

generating functionDyck pathasymmetric peakpyramid weightsymmetric peaks

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30)

Related Items (9)

Unnamed Item ⋮ On Delannoy paths without peaks and valleys ⋮ Symmetric and asymmetric peaks or valleys in (partial) Dyck paths ⋮ Enumerating symmetric pyramids in Motzkin paths ⋮ Knight's paths towards Catalan numbers ⋮ Unnamed Item ⋮ Symmetric peaks and symmetric valleys in Dyck paths ⋮ Enumerations of rational non-decreasing Dyck paths with integer slope ⋮ Enumerating symmetric peaks in non-decreasing Dyck paths

Uses Software

• OEIS

Cites Work

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• The Dyck pattern poset
• Some enumerations on non-decreasing Dyck paths
• Pattern distributions in Dyck paths with a first return decomposition constrained by height
• Dyck path enumeration
• Nondecreasing Dyck paths and \(q\)-Fibonacci numbers
• Enumerations of peaks and valleys on non-decreasing Dyck paths
• A generalized Goulden-Jackson cluster method and lattice path enumeration
• Water capacity of Dyck paths
• Counting strings in Dyck paths
• The special functions and their approximations. Vol. I, II
• Catalan Numbers

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