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Smirnov trees - MaRDI portal

Smirnov trees (Q5919553)

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scientific article; zbMATH DE number 7088648
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Smirnov trees
scientific article; zbMATH DE number 7088648

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    Smirnov trees (English)
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    5 August 2019
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    Summary: We introduce a generalization of Smirnov words in the context of labeled binary trees, which we call Smirnov trees. We study the generating function for ascent-descent statistics on Smirnov trees and establish that it is \(e\)-positive, which is akin to the classical case of Smirnov words. Our proof relies on an intricate weight-preserving bijection.
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    Smirnov words
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    labeled binary trees
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