Generalizations of Eulerian partially ordered sets, flag numbers, and the Mobius function

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dc.creatorBayer, Margaret M.
dc.creatorHetyei, Gabor
dc.date2001-01-09
dc.date.accessioned2026-07-07T04:39:35Z
dc.date.available2026-07-07T04:39:35Z
dc.descriptionA partially ordered set is r-thick if every nonempty open interval contains at least r elements. This paper studies the flag vectors of graded, r-thick posets and shows the smallest convex cone containing them is isomorphic to the cone of flag vectors of all graded posets. It also defines a k-analogue of the Mobius function and k-Eulerian posets, which are 2k-thick. Several characterizations of k-Eulerian posets are given. The generalized Dehn-Sommerville equations are proved for flag vectors of k-Eulerian posets. A new inequality is proved to be valid and sharp for rank 8 Eulerian posets.
dc.identifierhttps://arxiv.org/abs/math/0101075
dc.identifierhttp://arxiv.org/abs/math/0101075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60724
dc.subjectCombinatorics
dc.subject06A07
dc.titleGeneralizations of Eulerian partially ordered sets, flag numbers, and the Mobius function
dc.typetext

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