William Y. C. Chen

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20242026

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math.CO2024

Increasing Binary Trees and the $(α, β)$ -Eulerian Polynomials

William Y. C. Chen, Amy M. Fu

In light of the grammar given by Ji for the $(α, β)$ -Eulerian polynomials introduced by Carlitz and Scoville, we provide a labeling scheme for increasing binary trees. In this setti…

math.CO2024

A Grammar of Dumont and a Theorem of Diaconis-Evans-Graham

William Y. C. Chen, Amy M. Fu

We came across an unexpected connection between a remarkable grammar of Dumont for the joint distribution of $(\exc, \fix)$ over $S_{n}$ and a beautiful theorem of Diaconis-Evans-Gra…

Increasing Binary Trees and the (α,β)-Eulerian Polynomials

A Grammar of Dumont and a Theorem of Diaconis-Evans-Graham

Increasing Binary Trees and the $(α, β)$ -Eulerian Polynomials