Equivalences for pattern avoiding involutions and classification

Mark Dukes, Vıt Jelinek, Toufik Mansour, Astrid Reifegerste

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We complete the Wilf classification of signed patterns of length 5 for both signed permutations and signed involutions. New general equivalences of patterns are given which prove Jaggard's conjectures concerning involutions in the symmetric group avoiding certain patterns of length 5 and 6. In this way, we also complete the Wilf classification of S5, S6, and S7 for both permutations and involutions.
LanguageEnglish
Title of host publicationDMTCS Proceedings
Subtitle of host publication20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
Place of PublicationNancy, France
Pages181-188
Number of pages8
VolumeAJ
Publication statusPublished - 2008

Keywords

  • forbidden subsequences
  • pattern avoiding permutations
  • pattern avoiding involutions
  • signed permutations
  • Wilf equivalence

Cite this

Dukes, M., Jelinek, V., Mansour, T., & Reifegerste, A. (2008). Equivalences for pattern avoiding involutions and classification. In DMTCS Proceedings: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) (Vol. AJ, pp. 181-188). Nancy, France.
Dukes, Mark ; Jelinek, Vıt ; Mansour, Toufik ; Reifegerste, Astrid. / Equivalences for pattern avoiding involutions and classification. DMTCS Proceedings: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008). Vol. AJ Nancy, France, 2008. pp. 181-188
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Dukes, M, Jelinek, V, Mansour, T & Reifegerste, A 2008, Equivalences for pattern avoiding involutions and classification. in DMTCS Proceedings: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008). vol. AJ, Nancy, France, pp. 181-188.

Equivalences for pattern avoiding involutions and classification. / Dukes, Mark; Jelinek, Vıt; Mansour, Toufik; Reifegerste, Astrid.

DMTCS Proceedings: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008). Vol. AJ Nancy, France, 2008. p. 181-188.

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - Equivalences for pattern avoiding involutions and classification

AU - Dukes, Mark

AU - Jelinek, Vıt

AU - Mansour, Toufik

AU - Reifegerste, Astrid

PY - 2008

Y1 - 2008

N2 - We complete the Wilf classification of signed patterns of length 5 for both signed permutations and signed involutions. New general equivalences of patterns are given which prove Jaggard's conjectures concerning involutions in the symmetric group avoiding certain patterns of length 5 and 6. In this way, we also complete the Wilf classification of S5, S6, and S7 for both permutations and involutions.

AB - We complete the Wilf classification of signed patterns of length 5 for both signed permutations and signed involutions. New general equivalences of patterns are given which prove Jaggard's conjectures concerning involutions in the symmetric group avoiding certain patterns of length 5 and 6. In this way, we also complete the Wilf classification of S5, S6, and S7 for both permutations and involutions.

KW - forbidden subsequences

KW - pattern avoiding permutations

KW - pattern avoiding involutions

KW - signed permutations

KW - Wilf equivalence

UR - http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAJ0116

UR - http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs

M3 - Chapter

VL - AJ

SP - 181

EP - 188

BT - DMTCS Proceedings

CY - Nancy, France

ER -

Dukes M, Jelinek V, Mansour T, Reifegerste A. Equivalences for pattern avoiding involutions and classification. In DMTCS Proceedings: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008). Vol. AJ. Nancy, France. 2008. p. 181-188