Matrix identities on weighted partial Motzkin paths
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Publication:875057
DOI10.1016/j.ejc.2006.02.005zbMath1113.05005arXivmath/0509255OpenAlexW2092935087MaRDI QIDQ875057
William Y. C. Chen, Sherry H. F. Yan, Louis W. Shapiro, Nelson Y. Li
Publication date: 10 April 2007
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0509255
Related Items (14)
Arithmetic into geometric progressions through Riordan arrays ⋮ Some matrix identities on colored Motzkin paths ⋮ Some new binomial sums related to the Catalan triangle ⋮ On directed lattice paths with vertical steps ⋮ The research and progress of the enumeration of lattice paths ⋮ Noncrossing linked partitions and large \((3,2)\)-Motzkin paths ⋮ Combinatorial proofs of addition formulas ⋮ A symbolic treatment of Riordan arrays ⋮ Minors of a class of Riordan arrays related to weighted partial Motzkin paths ⋮ Counting lattice paths with four types of steps ⋮ Row polynomial matrices of Riordan arrays ⋮ Some inverse relations determined by Catalan matrices ⋮ Skew standard domino tableaux and partial Motzkin paths ⋮ Unnamed Item
Uses Software
Cites Work
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- The Riordan group
- A Catalan triangle
- Catalan-like numbers and determinants
- Moments of Dyck paths
- Dyck path enumeration
- Riordan arrays and combinatorial sums
- A bijection between ordered trees and 2-Motzkin paths and its many consequences
- Bijections and the Riordan group
- Runs, Slides and Moments
- A Combinatorial Interpretation of a Catalan Numbers Identity
- The Catalan Numbers, the Lebesgue Integral, and 4 n-2
- The enumeration of tree-like polyhexes
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