2 citations · 4 across the 5 of their papers we have counts for
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Increasing and Decreasing Sequences of Length Two in 01-Fillings of Moon Polyominoes
Anisse Kasraoui
We put recent results on the symmetry of the joint distribution of the numbers of crossings and nestings of two edges over matchings, set partitions and linked partitions, in the l…
On the symmetry of ascents and descents over 01-fillings of moon polyominoes
Anisse Kasraoui
The purpose of this short paper is to put recent results on the symmetry of the joint distribution of the numbers of crossings and nestings of two edges over matchings, set partiti…
A classification of mahonian maj-inv statistics
Anisse Kasraoui
Two well known mahonian statistics on words are the inversion number and the major index. In 1996, Foata and Zeilberger introduced generalizations, parameterized by relations, of t…
Euler-Mahonian Statistics On Ordered Set Partitions (II)
Anisse Kasraoui, Jiang Zeng
We study statistics on ordered set partitions whose generating functions are related to -Stirling numbers of the second kind. The main purpose of this paper is to provide bije…
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)…