Signed involutions avoiding 2-letter signed patterns

W. M.B. Dukes; Toufik Mansour

doi:10.1007/s00026-007-0326-x

Signed involutions avoiding 2-letter signed patterns

W. M.B. Dukes, Toufik Mansour

Department of Mathematics

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

Abstract

Let I _n be the class of all signed involutions in the hyperoctahedral group script B sign_n and let I _n (T) be the set of involutions in I _n which avoid a set T of signed patterns. In this paper, we complete a further case of the program initiated by Simion and Schmidt [6] by enumerating I _n (T) for all signed permutations T ⊂ B₂ .

Original language	English
Pages (from-to)	387-403
Number of pages	17
Journal	Annals of Combinatorics
Volume	11
Issue number	3-4
DOIs	https://doi.org/10.1007/s00026-007-0326-x
State	Published - Dec 2007

Keywords

Involutions
Pattern avoidance
Signed patterns

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1007/s00026-007-0326-x

Cite this

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title = "Signed involutions avoiding 2-letter signed patterns",

abstract = "Let I n be the class of all signed involutions in the hyperoctahedral group script B signn and let I n (T) be the set of involutions in I n which avoid a set T of signed patterns. In this paper, we complete a further case of the program initiated by Simion and Schmidt [6] by enumerating I n (T) for all signed permutations T ⊂ B2 .",

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AU - Mansour, Toufik

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N2 - Let I n be the class of all signed involutions in the hyperoctahedral group script B signn and let I n (T) be the set of involutions in I n which avoid a set T of signed patterns. In this paper, we complete a further case of the program initiated by Simion and Schmidt [6] by enumerating I n (T) for all signed permutations T ⊂ B2 .

AB - Let I n be the class of all signed involutions in the hyperoctahedral group script B signn and let I n (T) be the set of involutions in I n which avoid a set T of signed patterns. In this paper, we complete a further case of the program initiated by Simion and Schmidt [6] by enumerating I n (T) for all signed permutations T ⊂ B2 .

KW - Involutions

KW - Pattern avoidance

KW - Signed patterns

UR - https://www.scopus.com/pages/publications/43149100143

U2 - 10.1007/s00026-007-0326-x

DO - 10.1007/s00026-007-0326-x

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AN - SCOPUS:43149100143

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JO - Annals of Combinatorics

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IS - 3-4

ER -

Signed involutions avoiding 2-letter signed patterns

Abstract

Keywords

ASJC Scopus subject areas

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