7 citations · 25 across the 14 of their papers we have counts for
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math.CO2006★ 1 cited
Statistics on Ordered Partitions of Sets and q-Stirling Numbers
Masao Ishikawa, Anisse Kasraoui, Jiang Zeng
An ordered partition of [n]:={1,2,..., n} is a sequence of its disjoint subsets whose union is [n]. The number of ordered partitions of [n] with k blocks is k!S(n,k), where S(n,k)…
math.CO2006★ 1 cited
Distribution of crossings, nestings and alignments of two edges in matchings and partitions
Anisse Kasraoui, Jiang Zeng
We construct an involution on set partitions which keeps track of the numbers of crossings, nestings and alignments of two edges. We derive then the symmetric distribution of the n…