Stabbing simplices of point sets with k-flats

Creators: Cano Vila, Javier; Hurtado Díaz, Ferran; Urrutia Galicia, Jorge; Díaz Báñez, José Miguel (Coordinador); Garijo Royo, Delia (Coordinador); Márquez Pérez, Alberto (Coordinador); Urrutia Galicia, Jorge (Coordinador)

Others:: Díaz Báñez, José Miguel; Garijo Royo, Delia; Márquez Pérez, Alberto; Urrutia Galicia, Jorge; Universidad de Sevilla. Departamento de Matemática Aplicada II

Description

Let S be a set of n points in Rd in general position. A set H of k-flats is called an mk-stabber of S if the relative interior of any m-simplex with vertices in S is intersected by at least one element of H. In this paper we give lower and upper bounds on the size of minimum mk-stabbers of point sets in Rd. We study mainly mk-stabbers in the plane and in R3.

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Consejo Nacional de Ciencia y Tecnología (México)

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Ministerio de Economía y Competitividad

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Generalitat de Catalunya

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European Science Foundation

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Ministerio de Ciencia e Innovación

Stabbing simplices of point sets with k-flats

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