Riordan matrices and higher-dimensional lattice walks
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Publication:972838
DOI10.1016/j.jspi.2010.01.027zbMath1226.05030OpenAlexW2078348610WikidataQ60692251 ScholiaQ60692251MaRDI QIDQ972838
Publication date: 21 May 2010
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jspi.2010.01.027
Factorization of matrices (15A23) Exact enumeration problems, generating functions (05A15) Algebraic combinatorics (05E99)
Related Items (3)
Some algebraic structure of the Riordan group ⋮ Riordan arrays and related polynomial sequences ⋮ Unnamed Item
Uses Software
Cites Work
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- Equivalence of the two-dimensional directed animal problem to a one- dimensional path problem
- The Riordan group
- A Catalan triangle
- Pascal triangles, Catalan numbers and renewal arrays
- Moments of Dyck paths
- Riordan arrays and combinatorial sums
- A uniform model for the storage utilization of B-tree-like structures
- Lattice walks in \({\mathbf Z}^ d\) and permutations with no long ascending subsequences
- Inverse relations and Schauder bases
- Recursive matrices and umbral calculus
- Bijections and the Riordan group
- Riordan arrays and the Abel-Gould identity
- The Sheffer group and the Riordan group
- Decomposition and group theoretic characterization of pairs of inverse relations of the Riordan type
- Runs, Slides and Moments
- A Combinatorial Interpretation of a Catalan Numbers Identity
- Counting Interval Graphs
- On Some Alternative Characterizations of Riordan Arrays
- Hierarchical Dobi ski-type relations via substitution and the moment problem
- The enumeration of tree-like polyhexes
- On Faber Polynomials
- Motzkin numbers
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