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» Complexity of Some Geometric and Topological Problems
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GD
2009
Springer
13 years 10 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
IWPEC
2009
Springer
14 years 1 months ago
The Parameterized Complexity of Some Geometric Problems in Unbounded Dimension
We study the parameterized complexity of the following fundamental geometric problems with respect to the dimension d: i) Given n points in Rd, compute their minimum enclosing cyl...
Panos Giannopoulos, Christian Knauer, Günter ...
TON
2012
11 years 9 months ago
Some Fundamental Results on Base Station Movement Problem for Wireless Sensor Networks
—The benefits of using mobile base station to prolong sensor network lifetime have been well recognized. However, due to the complexity of the problem (time-dependent network to...
Yi Shi, Y. Thomas Hou
IJCGA
2006
85views more  IJCGA 2006»
13 years 6 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...
DGCI
2006
Springer
13 years 10 months ago
Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids
In this paper, we address the problem of vectorization of binary images on irregular isothetic grids. The representation of graphical elements by lines is common in document analys...
Antoine Vacavant, David Coeurjolly, Laure Tougne