Constructions for 4-Polytopes and the Cone of Flag Vectors

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dc.creatorPaffenholz, Andreas
dc.creatorWerner, Axel
dc.date2005-11-30
dc.date2006-07-14
dc.date.accessioned2026-07-07T06:51:57Z
dc.date.available2026-07-07T06:51:57Z
dc.descriptionWe describe a construction for d-polytopes generalising the well known stacking operation. The construction is applied to produce 2-simplicial and 2-simple 4-polytopes with g_2=0 on any number of n >= 13 vertices. In particular, this implies that the ray l_1, described by Bayer (1987), is fully contained in the convex hull of all flag vectors of 4-polytopes. Especially interesting examples on 9, 10 and 11 vertices are presented.
dc.description20 pages, 18 figures; minor corrections and changes in notation, added reference
dc.identifierhttps://arxiv.org/abs/math/0511751
dc.identifierhttp://arxiv.org/abs/math/0511751
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105157
dc.subjectCombinatorics
dc.subject52B05; 52B12
dc.titleConstructions for 4-Polytopes and the Cone of Flag Vectors
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