Euler-Mahonian Statistics On Ordered Set Partitions (II)

Details Euler-Mahonian Statistics On Ordered Set Partitions (II) Euler-Mahonian Statistics On Ordered Set Partitions (II)

2007-12-11

arxiv.org/abs/0712.1755v1

Mathematics

Combinatorics

27 pages,8 figures

Scientific paper

We study statistics on ordered set partitions whose generating functions are related to $p,q$-Stirling numbers of the second kind. The main purpose of this paper is to provide bijective proofs of all the conjectures of \stein (Arxiv:math.CO/0605670). Our basic idea is to encode ordered partitions by a kind of path diagrams and explore the rich combinatorial properties of the latter structure. We also give a partition version of MacMahon's theorem on the equidistribution of the statistics inversion number and major index on words.

Affiliated with

Also associated with

No associations

Rating

Euler-Mahonian Statistics On Ordered Set Partitions (II) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Euler-Mahonian Statistics On Ordered Set Partitions (II), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Euler-Mahonian Statistics On Ordered Set Partitions (II) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474520