Several Convex-Ear Decompositions

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dc.creatorSchweig, Jay
dc.date2006-05-09
dc.date.accessioned2026-07-07T07:14:04Z
dc.date.available2026-07-07T07:14:04Z
dc.descriptionIn this paper we give convex-ear decompositions for the order complexes of several classes of posets, namely supersolvable lattices with non-zero Mobius functions and rank-selected subposets of such lattices, rank-selected geometric lattices, and rank-selected face posets of shellable complexes which do not include the top rank. These decompositions give us many new inequalities for the h-vectors of these complexes. In addition, our decomposition of rank-selected face posets of shellable complexes allows us to prove inequalities for the flag h-vector of face posets of Cohen-Macaulay complexes.
dc.description30 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0605238
dc.identifierhttp://arxiv.org/abs/math/0605238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112719
dc.subjectCombinatorics
dc.subject06A07; 05A99
dc.titleSeveral Convex-Ear Decompositions
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