Blocking the k-Holes of Point Sets in the Plane
Resumen: Let P be a set of n points in the plane in general position. A subset H of P consisting of k elements that are the vertices of a convex polygon is called a k-hole of P, if there is no element of P in the interior of its convex hull. A set B of points in the plane blocks the k-holes of P if any k-hole of P contains at least one element of B in the interior of its convex hull. In this paper we establish upper and lower bounds on the sizes of k-hole blocking sets, with emphasis in the case k=5.
Idioma: Inglés
DOI: 10.1007/s00373-014-1488-z
Año: 2015
Publicado en: GRAPHS AND COMBINATORICS 31, 5 (2015), 1271-1287
ISSN: 0911-0119

Factor impacto JCR: 0.48 (2015)
Categ. JCR: MATHEMATICS rank: 212 / 311 = 0.682 (2015) - Q3 - T3
Factor impacto SCIMAGO:

Financiación: info:eu-repo/grantAgreement/ES/MICINN/EUI-EURC-2011-4306
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2009-07242
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2012-30951
Tipo y forma: Article (PostPrint)
Área (Departamento): Estadística e Investigación Operativa (Departamento de Métodos Estadísticos)

Creative Commons You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

Exportado de SIDERAL (2017-01-05-13:04:11)

Este artículo se encuentra en las siguientes colecciones:
Articles > Artículos por área > Estadística e Investigación Operativa

 Record created 2017-01-04, last modified 2017-03-27

Rate this document:

Rate this document:
(Not yet reviewed)