An involution on beta(1,0)-trees

Anders Claesson; Sergey Kitaev; Einar Steingrimsson

doi:10.1016/j.aam.2013.04.002

An involution on beta(1,0)-trees

Anders Claesson, Sergey Kitaev, Einar Steingrimsson

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

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.

Original language	English
Pages (from-to)	276-284
Number of pages	9
Journal	Advances in Applied Mathematics
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/j.aam.2013.04.002
Publication status	Published - Jul 2013

Keywords

involution
nonseparable permutation
equidistribution

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10.1016/j.aam.2013.04.002

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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.",

keywords = "involution, nonseparable permutation, equidistribution",

author = "Anders Claesson and Sergey Kitaev and Einar Steingrimsson",

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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

U2 - 10.1016/j.aam.2013.04.002

DO - 10.1016/j.aam.2013.04.002

M3 - Article

SN - 0196-8858

VL - 51

SP - 276

EP - 284

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

IS - 2

ER -

An involution on beta(1,0)-trees

Abstract

Keywords

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