Euler-Mahonian Statistics On Ordered Set Partitions (II)

Simple item page
dc.creatorKasraoui, Anisse
dc.creatorZeng, Jiang
dc.date2007-12-11
dc.date.accessioned2026-07-07T08:48:36Z
dc.date.available2026-07-07T08:48:36Z
dc.descriptionWe 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.
dc.description27 pages,8 figures
dc.identifierhttps://arxiv.org/abs/0712.1755
dc.identifierhttp://arxiv.org/abs/0712.1755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144002
dc.subjectCombinatorics
dc.subject05A15, 05A30
dc.titleEuler-Mahonian Statistics On Ordered Set Partitions (II)
dc.typetext

Files

Collections

arXiv