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» On covering by translates of a set
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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
15 years 4 months ago
Piercing Translates and Homothets of a Convex Body
According to a classical result of Gr¨unbaum, the transversal number τ(F) of any family F of pairwise-intersecting translates or homothets of a convex body C in Rd is bounded by...
Adrian Dumitrescu, Minghui Jiang
COMPGEOM
2009
ACM
15 years 4 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
GLVLSI
1999
IEEE
85views VLSI» more  GLVLSI 1999»
15 years 1 months ago
On Applying Set Covering Models to Test Set Compaction
Paulo F. Flores, Horácio C. Neto, Joã...
IPL
2008
135views more  IPL 2008»
14 years 9 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen
120
Voted
TASE
2010
IEEE
14 years 4 months ago
Coverage of a Planar Point Set With Multiple Robots Subject to Geometric Constraints
This paper focuses on the assignment of discrete points among K robots and determining the order in which the points should be processed by the robots, in the presence of geometric...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen