Counting 1 × 2 rectangles in set partitions

DOI10.1080/10236198.2019.1619712zbMath1415.05010OpenAlexW2945747652MaRDI QIDQ5222710

Armend Sh. Shabani, Toufik Mansour, Nenad P. Cakić

Publication date: 10 July 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1619712

zbMATH Keywords

generating functionsset partitionsbargraphs\(1\times 2\) rectangle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18)

Related Items (max. 100)

Unnamed Item ⋮ t-bargraphs and t-compositions

Cites Work

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• Interior vertices in set partitions
• Engel's inequality for Bell numbers
• Critical exponents from nonlinear functional equations for partially directed cluster models
• Levels in bargraphs
• Counting corners in compositions and set partitions presented as bargraphs
• Combinatorics of Set Partitions
• Combinatorial parameters on bargraphs of permutations
• Counting water cells in bargraphs of compositions and set partitions
• Combinatorial parameters in bargraphs
• Bargraph statistics on words and set partitions

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