Bijections on pattern avoiding inversion sequences and related objects

DOI10.1016/j.aam.2024.102771zbMATH Open1548.05024MaRDI QIDQ6616301

Seung-Hyun Seo, Sangwook Kim, Heesung Shin, JiSun Huh

Publication date: 9 October 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

permutationspattern avoidanceordered treesdirect sumSchröder pathsinversion sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05)

Cites Work

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• Patterns in permutations and words.
• Enumeration of inversion sequences avoiding triples of relations
• Generating permutations with restricted containers
• Permutations with forbidden subsequences and a generalized Schröder number
• Length-four pattern avoidance in inversion sequences
• Patterns in Inversion Sequences I
• Pattern avoidance in inversion sequences
• Inversion sequences avoiding pairs of patterns
• Schr\"oder Paths and Pattern Avoiding Partitions
• Patterns in Inversion Sequences II: Inversion Sequences Avoiding Triples of Relations
• Bijections on two variations of noncrossing partitions
• Lagrange inversion
• Restricted permutations
• On Delannoy paths without peaks and valleys

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