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» On the set multi-cover problem in geometric settings
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IJCGA
2006
85views more  IJCGA 2006»
13 years 7 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
CCCG
2010
13 years 9 months ago
Coloring geometric hypergraph defined by an arrangement of half-planes
We prove that any finite set of half-planes can be colored by two colors so that every point of the plane, which belongs to at least three half-planes in the set, is covered by ha...
Radoslav Fulek
SODA
2001
ACM
86views Algorithms» more  SODA 2001»
13 years 9 months ago
Pattern matching for sets of segments
In this paper we present algorithms for a number of problems in geometric pattern matching where the input consist of a collections of segments in the plane. Our work consists of ...
Alon Efrat, Piotr Indyk, Suresh Venkatasubramanian
CCCG
2010
13 years 9 months ago
Constrained k-center and movement to independence
We obtain hardness results and approximation algorithms for two related geometric problems involving movement. The first is a constrained variant of the k-center problem, arising ...
Adrian Dumitrescu, Minghui Jiang
MOR
2008
73views more  MOR 2008»
13 years 7 months ago
Separation of Nonconvex Sets with General Augmenting Functions
In this paper, we consider two geometric optimization problems that are dual to each other and characterize conditions under which the optimal values of the two problems are equal...
Angelia Nedic, Asuman E. Ozdaglar