Reduction of $m$-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 $m$-regular partitions of $[n]=\{1,2,...,n\}$ to $(m-1)$-regular partitions of $[n-1]$. We show that this algori…