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» Covering point sets with two disjoint disks or squares
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COMGEO
2008
ACM
13 years 11 months ago
Covering point sets with two disjoint disks or squares
We study the following problem: Given a set of red points and a set of blue points on the plane, find two unit disks CR and CB with disjoint interiors such that the number of red ...
Sergio Cabello, José Miguel Díaz-B&a...
CCCG
2007
14 years 10 days ago
Covering Points by Isothetic Unit Squares
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
COMGEO
2011
ACM
13 years 5 months ago
Covering points by disjoint boxes with outliers
For a set of n points in the plane, we consider the axis–aligned (p, k)-Box Covering problem: Find p axis-aligned, pairwise-disjoint boxes that together contain at least n − k...
Hee-Kap Ahn, Sang Won Bae, Erik D. Demaine, Martin...
ALGORITHMICA
2010
156views more  ALGORITHMICA 2010»
13 years 11 months ago
On Covering Problems of Rado
T. Rado conjectured in 1928 that if S is a finite set of axis-parallel squares in the plane, then there exists an independent subset I S of pairwise disjoint squares, such that I ...
Sergey Bereg, Adrian Dumitrescu, Minghui Jiang
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
14 years 2 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...