An Application of Dumont’s Statistic

M. Skandera ()
Additional contact information
M. Skandera: Institute of Technology Cambridge, Department of Mathematics Massachusetts

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 743-753 from Springer

Abstract: Abstract In 1974, Dumont [5] gave an interpretation of the Eulerian numbers which extends to a number of statistics on permutations [7] and on arbitrary words [8]. We apply one such statistic to a special case of a result of Stanley concerning the flag h-vectors of Cohen-Macaulay complexes [9]. Specifically, we give a bijective proof that for each distributive lattice J(P) which is a product of chains, there is a poset Q such that the f-vector of Q is the h-vector of P. We conjecture that the result holds for all finite distributive lattices.

Date: 2000
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_73

Ordering information: This item can be ordered from
http://www.springer.com/9783662041666

DOI: 10.1007/978-3-662-04166-6_73

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().