Set partitions with colored singleton blocks

DOI10.47443/DML.2024.009MaRDI QIDQ6633236

Toufik Mansour, Mark Shattuck, Augustine O. Munagi

Publication date: 5 November 2024

Published in: DML. Discrete Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

exponential generating functionLah distributionfinite set partitionsingletons statistic

Mathematics Subject Classification ID

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

Cites Work

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• On singletons and adjacencies of set partitions
• Generalized \(r\)-Lah numbers
• Set partitions with circular successions
• Singletons and adjacencies of set partitions of type \(B\)
• The largest singletons of set partitions
• The \(r\)-Stirling numbers
• Combinatorial and arithmetical properties of the restricted and associated Bell and factorial numbers
• The partial \(r\)-Bell polynomials
• A polynomial generalization of some associated sequences related to set partitions
• Exponential polynomials
• The \(r\)-Lah numbers
• Set partitions and partitions without singleton blocks of type \(B\)
• The $r$-Bell numbers
• Set Partitions with Isolated Singletons
• Combinatorics of Set Partitions
• Sums of r-Lah numbers and r-Lah polynomials
• The largest singletons in weighted set partitions and its applications

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