An involution on beta(1,0)-trees

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In [Decompositions and statistics for \beta(1,0)-trees and nonseparable permutations, Advances Appl. Math. 42 (2009) 313--328] we introduced an involution, h, on \beta(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.
LanguageEnglish
Pages276-284
Number of pages9
JournalAdvances in Applied Mathematics
Volume51
Issue number2
DOIs
Publication statusPublished - Jul 2013

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Involution
Statistics
Decomposition
Equidistribution
Nonseparable
Permutation
Decompose

Keywords

  • involution
  • nonseparable permutation
  • equidistribution

Cite this

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title = "An involution on beta(1,0)-trees",
abstract = "In [Decompositions and statistics for \beta(1,0)-trees and nonseparable permutations, Advances Appl. Math. 42 (2009) 313--328] we introduced an involution, h, on \beta(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.",
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An involution on beta(1,0)-trees. / Claesson, Anders; Kitaev, Sergey; Steingrimsson, Einar.

In: Advances in Applied Mathematics, Vol. 51, No. 2, 07.2013, p. 276-284.

Research output: Contribution to journalArticle

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AU - Claesson, Anders

AU - Kitaev, Sergey

AU - Steingrimsson, Einar

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Y1 - 2013/7

N2 - In [Decompositions and statistics for \beta(1,0)-trees and nonseparable permutations, Advances Appl. Math. 42 (2009) 313--328] we introduced an involution, h, on \beta(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.

AB - In [Decompositions and statistics for \beta(1,0)-trees and nonseparable permutations, Advances Appl. Math. 42 (2009) 313--328] we introduced an involution, h, on \beta(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.

KW - involution

KW - nonseparable permutation

KW - equidistribution

UR - http://arxiv.org/abs/1210.1608

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DO - 10.1016/j.aam.2013.04.002

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