activity
20042006
most citedCrossings and Nestings of Matchings and Partitions

1 citations · 1 across the 3 of their papers we have counts for

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math.CO2006

Riordan Paths and Derangements

William Y. C. Chen, Eva Y. P. Deng, Laura L. M. Yang

Riordan paths are Motzkin paths without horizontal steps on the x-axis. We establish a correspondence between Riordan paths and -avoiding derangements. We also pr…

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.CO2004

Reduction of -Regular Noncrossing Partitions

William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du

In this paper, we present a reduction algorithm which transforms -regular partitions of to -regular partitions of . We show that this algori…