New permutation statistics: Variation and a variant

DOI10.1016/j.dam.2009.01.014zbMath1181.05006OpenAlexW1980572427MaRDI QIDQ1026169

Toufik Mansour, Chunwei Song

Publication date: 24 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.dam.2009.01.014

zbMATH Keywords

generating functionskernel methodpermutation statisticspermutation patternsmahonian statisticsvariation statistic

Mathematics Subject Classification ID

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

Cites Work

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• New Euler-Mahonian statistics on permutations and words
• A fundamental transformation on the rearrangements of words
• Generating functions for generating trees
• Counting occurrences of a pattern of type (1, 2) or (2, 1) in permutations
• Kernel method and linear recurrence system
• Generalized pattern avoidance

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