Counting occurrences of 231 in an involution

Toufik Mansour; Sherry H.F. Yan; Laura L.M. Yang

doi:10.1016/j.disc.2006.01.011

Counting occurrences of 231 in an involution

Toufik Mansour
, Sherry H.F. Yan
, Laura L.M. Yang

Department of Mathematics

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

Abstract

We study the generating function for the number of involutions on n letters containing exactly r≥0 occurrences of 231. It is shown that finding this function for a given r amounts to a routine check of all involutions of length at most 2r+2.

Original language	English
Pages (from-to)	564-572
Number of pages	9
Journal	Discrete Mathematics
Volume	306
Issue number	6
DOIs	https://doi.org/10.1016/j.disc.2006.01.011
State	Published - 6 Apr 2006

Keywords

Generating functions
Restricted involutions
Restricted permutations

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2006.01.011

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title = "Counting occurrences of 231 in an involution",

abstract = "We study the generating function for the number of involutions on n letters containing exactly r≥0 occurrences of 231. It is shown that finding this function for a given r amounts to a routine check of all involutions of length at most 2r+2.",

keywords = "Generating functions, Restricted involutions, Restricted permutations",

author = "Toufik Mansour and Yan, \{Sherry H.F.\} and Yang, \{Laura L.M.\}",

year = "2006",

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day = "6",

doi = "10.1016/j.disc.2006.01.011",

language = "English",

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journal = "Discrete Mathematics",

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T1 - Counting occurrences of 231 in an involution

AU - Mansour, Toufik

AU - Yan, Sherry H.F.

AU - Yang, Laura L.M.

PY - 2006/4/6

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N2 - We study the generating function for the number of involutions on n letters containing exactly r≥0 occurrences of 231. It is shown that finding this function for a given r amounts to a routine check of all involutions of length at most 2r+2.

AB - We study the generating function for the number of involutions on n letters containing exactly r≥0 occurrences of 231. It is shown that finding this function for a given r amounts to a routine check of all involutions of length at most 2r+2.

KW - Generating functions

KW - Restricted involutions

KW - Restricted permutations

UR - https://www.scopus.com/pages/publications/33645387487

U2 - 10.1016/j.disc.2006.01.011

DO - 10.1016/j.disc.2006.01.011

M3 - Article

AN - SCOPUS:33645387487

SN - 0012-365X

VL - 306

SP - 564

EP - 572

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 6

ER -

Counting occurrences of 231 in an involution

Abstract

Keywords

ASJC Scopus subject areas

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