Symmetric and asymmetric peaks or valleys in (partial) Dyck paths

DOI10.54550/eca2022v2s3r24zbMath1512.05042arXiv2112.13584OpenAlexW4200631663MaRDI QIDQ6098026

Wenle Shi, Yidong Sun, Di Zhao

Publication date: 9 June 2023

Published in: Enumerative Combinatorics and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13584

zbMATH Keywords

Dyck pathRiordan arrayasymmetric peaksymmetric peaksymmetric valley

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items (2)

Enumerating symmetric pyramids in Motzkin paths ⋮ Unnamed Item

Cites Work

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• Nonleft peaks in Dyck paths: a combinatorial approach
• Some enumerations on non-decreasing Dyck paths
• The Riordan group
• Dyck path enumeration
• Riordan arrays and combinatorial sums
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• Bijections and the Riordan group
• The statistic ``number of udu's in Dyck paths
• Enumerating symmetric and asymmetric peaks in Dyck paths
• Symmetric peaks and symmetric valleys in Dyck paths
• Enumerations of rational non-decreasing Dyck paths with integer slope
• Water capacity of Dyck paths
• Enumerating several aspects of non-decreasing Dyck paths
• Counting strings in Dyck paths

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