Set partitions and parity successions

DOI10.1080/09720529.2016.1160514zbMath1495.05016OpenAlexW2790545174MaRDI QIDQ5069986

Toufik Mansour, Mark Shattuck

Publication date: 19 April 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2016.1160514

zbMATH Keywords

set partitionnon-crossing partitions\(q\)-generalizationparity succession

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30)

Related Items (1)

Counting inversion sequences by parity successions and runs

Uses Software

• OEIS

Cites Work

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• Alternating subsets and permutations
• Parity alternating permutations and signed Eulerian numbers
• Alternating subsets modulo \(m\)
• Generating functions and generalized alternating subsets
• On \(abab\)-free and \(abba\)-free set partitions
• Successions in words and compositions
• Parity-alternating permutations and successions
• Parity successions in set partitions
• A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
• Combinatorics of Set Partitions
• A note on a result of knuth or identities grow on trees

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