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

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

1 Citation (Scopus)

Abstract

Let I n be the class of all signed involutions in the hyperoctahedral group Bn 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
Publication status	Published - Dec 2007

Keywords

pattern avoidance
signed patterns
involutions

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10.1007/s00026-007-0326-x

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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 Bn 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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author = "W.M.B. Dukes and Toufik Mansour",

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AU - Mansour, Toufik

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AB - Let I n be the class of all signed involutions in the hyperoctahedral group Bn 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 - pattern avoidance

KW - signed patterns

KW - involutions

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DO - 10.1007/s00026-007-0326-x

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SP - 387

EP - 403

JO - Annals of Combinatorics

JF - Annals of Combinatorics

IS - 3-4

ER -

Signed involutions avoiding 2-letter signed patterns

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Keywords

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