Las Vergnas Cube Conjecture and reconstruction properties of the cube matroid

Simple item page
dc.creatorDa Silva, Ilda P. F.
dc.date2005-08-05
dc.date.accessioned2026-07-07T05:22:14Z
dc.date.available2026-07-07T05:22:14Z
dc.descriptionLas Vergnas Cube Conjecture states that the cube matroid has exactly one class of orientations. We prove that this conjecture is equivalent to saying that the oriented matroid of the affine dependencies of the n-cube can be reconstructed from the underlying matroid and one of the following partial lists of signed circuits or cocircuits: A) the signed circuits of rank 3, or B) the positive signed cocircuits.
dc.description17pp
dc.identifierhttps://arxiv.org/abs/math/0508103
dc.identifierhttp://arxiv.org/abs/math/0508103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75981
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subject52C40, 05B35
dc.titleLas Vergnas Cube Conjecture and reconstruction properties of the cube matroid
dc.typetext

Files

Collections

arXiv