Profiles of ordered trees with mutation and associated Riordan matrices

DOI10.1016/J.LAA.2016.09.006zbMath1347.05007OpenAlexW2519271733MaRDI QIDQ331175

Gi-Sang Cheon, Louis W. Shapiro, Hana Kim

Publication date: 26 October 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.006

zbMATH Keywords

profileordered treesRiordan matrixmutation

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

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Cites Work

• The uplift principle for ordered trees
• Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
• Structural properties of Riordan matrices and extending the matrices
• The Riordan group
• Pascal triangles, Catalan numbers and renewal arrays
• A divisibility property for a subgroup of Riordan matrices
• The butterfly decomposition of plane trees
• On the Altitude of Nodes in Random Trees
• On Some Alternative Characterizations of Riordan Arrays
• The Multiplicative Process
• Some inverse limit approaches to the Riordan group
• Unnamed Item

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