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  • Björner, AndersKTH,Matematik (Avd.) (author)

Chain polynomials of distributive lattices are 75% unimodal

  • Article/chapterEnglish2005

Publisher, publication year, extent ...

  • 2005-03-14
  • The Electronic Journal of Combinatorics,2005
  • printrdacarrier

Numbers

  • LIBRIS-ID:oai:DiVA.org:kth-14598
  • https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-14598URI
  • https://doi.org/10.37236/1971DOI

Supplementary language notes

  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • QC 20100525
  • 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.

Subject headings and genre

  • ordered sets
  • stanley

Added entries (persons, corporate bodies, meetings, titles ...)

  • Farley, J. D. (author)
  • KTHMatematik (Avd.) (creator_code:org_t)

Related titles

  • In:The Electronic Journal of Combinatorics: The Electronic Journal of Combinatorics12:11097-14401077-8926

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