Counting symmetric and asymmetric peaks in Motzkin paths with air pockets

zbMATH Open1542.05079MaRDI QIDQ6562437

Jean-Luc Baril, José L. Ramírez, Rigoberto Flórez

Publication date: 26 June 2024

Published in: The Australasian Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

asymmetric peaks for pathssymmetric peaks for pathstrivariate generating functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Paths and cycles (05C38) Structural characterization of families of graphs (05C75)

Cites Work

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• Nondecreasing Dyck paths and \(q\)-Fibonacci numbers
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• Dual processes to solve single server systems
• The On-Line Encyclopedia of Integer Sequences
• Enumerating symmetric peaks in non-decreasing Dyck paths
• Partial Dyck paths with Air Pockets
• Grand Dyck paths with air pockets
• Symmetric and asymmetric peaks or valleys in (partial) Dyck paths
• Enumerating symmetric pyramids in Motzkin paths
• Symmetries in Dyck paths with air pockets
• Two kinds of partial Motzkin paths with air pockets

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