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COMPGEOM
2006
ACM
13 years 11 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
CIAC
2006
Springer
135views Algorithms» more  CIAC 2006»
13 years 9 months ago
Approximation Algorithms for Capacitated Rectangle Stabbing
In the rectangle stabbing problem we are given a set of axis parallel rectangles and a set of horizontal and vertical lines, and our goal is to find a minimum size subset of lines...
Guy Even, Dror Rawitz, Shimon Shahar
ISAAC
2009
Springer
116views Algorithms» more  ISAAC 2009»
14 years 3 days 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...
COCOON
2005
Springer
13 years 11 months ago
A PTAS for a Disc Covering Problem Using Width-Bounded Separators
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Zhixiang Chen, Bin Fu, Yong Tang, Binhai Zhu
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
13 years 11 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre