| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4656408 | Journal of Combinatorial Theory, Series A | 2008 | 8 Pages |
Abstract
We introduce a statistic pmaj(P) for partitions of [n], and show that it is equidistributed with cr2, the number of 2-crossings, over all partitions of [n] with given sets of minimal block elements and maximal block elements. This generalizes the classical result of equidistribution for the permutation statistics inv and maj.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
