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» Covering a Set of Points with a Minimum Number of Lines
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116
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CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
15 years 2 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
100
Voted
SIAMDM
2008
110views more  SIAMDM 2008»
14 years 10 months ago
The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
We prove a conjecture of Erdos, Purdy, and Straus on the number of distinct areas of triangles determined by a set of n points in the plane. We show that if P is a set of n points...
Rom Pinchasi
81
Voted
ISAAC
2009
Springer
116views Algorithms» more  ISAAC 2009»
15 years 4 months ago
Practical Discrete Unit Disk Cover Using an Exact Line-Separable Algorithm
Given m unit disks and n points in the plane, the discrete unit disk cover problem is to select a minimum subset of the disks to cover the points. This problem is NP-hard [11] and ...
Francisco Claude, Reza Dorrigiv, Stephane Durocher...
78
Voted
JUCS
2010
117views more  JUCS 2010»
14 years 8 months ago
NP-completeness and FPT Results for Rectilinear Covering Problems
Abstract: This paper discusses three rectilinear (that is, axis-parallel) covering problems in d dimensions and their variants. The first problem is the Rectilinear Line Cover whe...
Vladimir Estivill-Castro, Apichat Heednacram, Fran...
85
Voted
COMPGEOM
2006
ACM
15 years 4 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...