Restricted stirling permutations

David Callan; Shi Mei Ma; Toufik Mansour

doi:10.11650/tjm.20.2016.6717

Restricted stirling permutations

David Callan, Shi Mei Ma, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the generating functions for the number of pattern restricted Stirling permutations with a given number of plateaus, descents and ascents. Properties of the generating functions, including symmetric properties and explicit formulas are studied. Combinatorial explanations are given for some equidistributions.

Original language	American English
Pages (from-to)	957-978
Number of pages	22
Journal	Taiwanese Journal of Mathematics
Volume	20
Issue number	5
DOIs	https://doi.org/10.11650/tjm.20.2016.6717
State	Published - 2016

Keywords

Pattern avoidance
Plateaus
Stirling permutations

All Science Journal Classification (ASJC) codes

General Mathematics

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10.11650/tjm.20.2016.6717

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title = "Restricted stirling permutations",

abstract = "In this paper, we study the generating functions for the number of pattern restricted Stirling permutations with a given number of plateaus, descents and ascents. Properties of the generating functions, including symmetric properties and explicit formulas are studied. Combinatorial explanations are given for some equidistributions.",

keywords = "Pattern avoidance, Plateaus, Stirling permutations",

author = "David Callan and Ma, {Shi Mei} and Toufik Mansour",

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AU - Mansour, Toufik

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DO - 10.11650/tjm.20.2016.6717

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JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

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Restricted stirling permutations

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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