scientific article; zbMATH DE number 7488331

MaRDI QIDQ5061522

José L. Ramírez, David Callan, Toufik Mansour

Publication date: 11 March 2022

Full work available at URL: http://www.jalc.de/issues/2021/issue_26_3-4/jalc-2021-177-196.php

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zbMATH Keywords

areagenerating functionCatalan wordexternal cornerssemiperimeter

Mathematics Subject Classification ID

Formal languages and automata (68Q45)

Related Items (4)

Descent distribution on Catalan words avoiding ordered pairs of relations ⋮ Consecutive patterns in Catalan words and the descent distribution ⋮ Unnamed Item ⋮ Counting lattice points on bargraphs of Catalan words

Cites Work

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• Some bijections and identities for the Catalan and Fine numbers
• Sequence characterization of Riordan arrays
• Combinatorial aspects of continued fractions
• The Riordan group
• Pascal triangles, Catalan numbers and renewal arrays
• An involution on Dyck paths and its consequences
• A bijection between bargraphs and Dyck paths
• Equidistributions of Mahonian statistics over pattern avoiding permutations
• Parallelogram polyominoes and corners
• Counting lattice points on bargraphs of Catalan words
• Efficient generation of restricted growth words
• Counting corners in compositions and set partitions presented as bargraphs
• Applications in Enumerative Combinatorics of Infinite Weighted Automata and Graphs
• Catalan words avoiding pairs of length three patterns
• Catalan Numbers
• Combinatorial parameters in bargraphs

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