Ranking patterns of the unfolding model and arrangements

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dc.creatorKamiya, H.
dc.creatorOrlik, P.
dc.creatorTakemura, A.
dc.creatorTerao, H.
dc.date2004-04-19
dc.date.accessioned2026-07-07T08:14:56Z
dc.date.available2026-07-07T08:14:56Z
dc.descriptionIn the unidimensional unfolding model, given m objects in general position there arise 1+m(m-1)/2 rankings. The set of rankings is called the ranking pattern of the m given objects. By changing these m objects, we can generate various ranking patterns. It is natural to ask how many ranking patterns can be generated and what is the probability of each ranking pattern when the objects are randomly chosen? These problems are studied by introducing a new type of arrangement called mid-hyperplane arrangement and by counting cells in its complement.
dc.description29 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0404343
dc.identifierhttp://arxiv.org/abs/math/0404343
dc.identifierAnnals of Combinatorics, 10 (2006), 219-235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133310
dc.subjectCombinatorics
dc.subjectProbability
dc.subject05C90
dc.titleRanking patterns of the unfolding model and arrangements
dc.typetext

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