Refinements of (\(n,m\))-Dyck paths

DOI10.1016/j.ejc.2010.07.005zbMath1201.05008OpenAlexW1492470654MaRDI QIDQ607370

Jun Ma, Yeong-Nan Yeh

Publication date: 22 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.07.005

zbMATH Keywords

Dyck pathspeaksvalleysdouble-ascentsdouble-descents

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items (10)

Enumeration of generalized lattice paths by string types, peaks, and ascents ⋮ Uniform partition extensions, a generating functions perspective ⋮ The halves of Delannoy matrix and Chung-Feller properties of the \(m\)-Schröder paths ⋮ Some \(\gamma \)-positive polynomials arising from enumerations of the pseudo Schröder paths ⋮ The research and progress of the enumeration of lattice paths ⋮ Refinements of two identities on \((n,m)\)-Dyck paths ⋮ Enumeration of lattice paths with infinite types of steps and the Chung-Feller property ⋮ Bijections on \(r\)-Shi and \(r\)-Catalan arrangements ⋮ A Chung-Feller theorem for lattice paths with respect to cyclically shifting boundaries ⋮ Rooted cyclic permutations of lattice paths and uniform partitions

Cites Work

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• Chung-Feller property in view of generating functions
• Taylor expansions for Catalan and Motzkin numbers
• The Chung-Feller theorem revisited
• Refined Chung-Feller theorems for lattice paths
• On Fluctuations in Coin-Tossing

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