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math.CO2005★ 1 cited
Crossings and Nestings of Matchings and Partitions
William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du +2
We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we…
math.CO2002★ 2 cited
Generating functions for moments of the quasi-nilpotent DT-operator
Ken Dykema, Catherine Yan
We prove a recursion formula for generating functions of certain renormalizations of *-moments of the DT(δ_0,1)-operator T, involving an operation \odot on formal power series and…