Visibility in pattern-restricted permutations

DOI10.1080/10236198.2020.1780220zbMath1470.05011OpenAlexW3035867860MaRDI QIDQ4991426

Toufik Mansour, Mark Shattuck

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1080/10236198.2020.1780220

zbMATH Keywords

kernel methodvisibilitypattern avoidancepermutation statistic

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items

Maxima and visibility in involutions ⋮ Visibility in restricted involutions ⋮ Visibility in non-crossing and non-nesting partitions

Uses Software

• OEIS
• AARON

Cites Work

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• Refining enumeration schemes to count according to permutation statistics
• Permutations and words counted by consecutive patterns
• The classification of 231-avoiding permutations by descents and maximum drop
• The joint distribution of consecutive patterns and descents in permutations avoiding 3-1-2
• Refined restricted permutations
• Permutation statistics and \(q\)-Fibonacci numbers
• Kernel method and linear recurrence system
• Levels in bargraphs
• Combinatorial parameters in bargraphs
• Counting visible levels in bargraphs and set partitions
• Restricted permutations