The area above the Dyck path of a permutation

DOI10.1016/J.AAM.2009.11.008zbMath1226.05007arXiv0810.2457OpenAlexW1983387556MaRDI QIDQ972852

Mark Dukes, Astrid Reifegerste

Publication date: 21 May 2010

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

Full work available at URL: https://arxiv.org/abs/0810.2457

zbMATH Keywords

permutationDyck pathBruhat posetSimion-Schmidt

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05)

Cites Work

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• q-Catalan numbers
• On the diagram of 132-avoiding permutations
• Phase Change of Limit Laws in the Quicksort Recurrence under Varying Toll Functions
• Restricted permutations
• Generalized pattern avoidance
• An area-to-inv bijection between Dyck paths and 312-avoiding permutations

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