On Gale and braxial polytopes

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dc.creatorBayer, Margaret M.
dc.creatorBisztriczky, Tibor
dc.date2006-10-30
dc.date.accessioned2026-07-07T07:29:38Z
dc.date.available2026-07-07T07:29:38Z
dc.descriptionCyclic polytopes are characterized as simplicial polytopes satisfying Gale's evenness condition (a combinatorial condition on facets relative to a fixed ordering of the vertices). Periodically-cyclic polytopes are polytopes for which certain subpolytopes are cyclic. Bisztriczky discovered a class of periodically-cyclic polytopes that also satisfy Gale's evenness condition. The faces of these polytopes are braxtopes, a certain class of nonsimplicial polytopes studied by the authors. In this paper we prove that the periodically-cyclic Gale polytopes of Bisztriczky are exactly the polytopes that satisfy Gale's evenness condition and are braxial (all faces are braxtopes). The existence of other periodically-cyclic Gale polytopes is open.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0610940
dc.identifierhttp://arxiv.org/abs/math/0610940
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118186
dc.subjectCombinatorics
dc.subject52B12
dc.titleOn Gale and braxial polytopes
dc.typetext

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