An involution on beta(1,0)-trees

Claesson, Anders and Kitaev, Sergey and Steingrimsson, Einar (2013) An involution on beta(1,0)-trees. Advances in Applied Mathematics, 51 (2). pp. 276-284. ISSN 0196-8858 (https://doi.org/10.1016/j.aam.2013.04.002)

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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.

ORCID iDs

Claesson, Anders ORCID logoORCID: https://orcid.org/0000-0001-5797-8673, Kitaev, Sergey ORCID logoORCID: https://orcid.org/0000-0003-3324-1647 and Steingrimsson, Einar ORCID logoORCID: https://orcid.org/0000-0003-4611-0849;
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