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Chain polynomials of distributive lattices are 75% unimodal
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7497-2764
2005 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 12, no 1Article in journal (Refereed) Published
Abstract [en]

It is shown that the numbers c(i) of chains of length i in the proper part L\{0, 1} of a distributive lattice L of length l + 2 satisfy the inequalities c(0) <...< c([l/2]) and c([3l.4]) >... > c(l). This proves 75% of the inequalities implied by the Neggers unimodality conjecture.

Place, publisher, year, edition, pages
2005. Vol. 12, no 1
Keyword [en]
ordered sets, stanley
URN: urn:nbn:se:kth:diva-14598ISI: 000227617400003ScopusID: 2-s2.0-15944418592OAI: diva2:332639
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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