A Voronoi poset

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dc.creatorLindenbergh, Roderik C.
dc.date1999-05-04
dc.date.accessioned2026-07-07T05:28:57Z
dc.date.available2026-07-07T05:28:57Z
dc.descriptionGiven a set S of n points in general position, we consider all k-th order Voronoi diagrams on S, for k=1,...,n, simultaneously. We deduce symmetry relations for the number of faces, number of vertices and number of circles of certain orders. These symmetry relations are independent of the position of the sites in S. As a consequence we show that the reduced Euler characteristic of the poset of faces equals zero whenever n odd.
dc.description14 pages 4 figures
dc.identifierhttps://arxiv.org/abs/math/9905018
dc.identifierhttp://arxiv.org/abs/math/9905018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78453
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subjectGeometric Topology
dc.titleA Voronoi poset
dc.typetext

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