Turning cycle restrictions into mesh patterns via Foata's fundamental transformation

DOI10.1016/j.disc.2023.113826arXiv2303.17931OpenAlexW4389469541MaRDI QIDQ6177428

Anders Claesson, Henning Úlfarsson

Publication date: 17 January 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.17931

zbMATH Keywords

generating functionpermutationmesh patternFoata's fundamental transformation

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Mesh patterns and the expansion of permutation statistics as sums of permutation patterns
• Wilf-classification of mesh patterns of short length
• Adjacent \(q\)-cycles in permutations
• From Hertzsprung's problem to pattern-rewriting systems

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