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» On the Number of Halving Planes
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JCO
2006
103views more  JCO 2006»
14 years 10 months ago
On optimal placement of relay nodes for reliable connectivity in wireless sensor networks
The paper addresses the relay node placement problem in two-tiered wireless sensor networks. Given a set of sensor nodes in Euclidean plane, our objective is to place minimum numbe...
Hai Liu, Peng-Jun Wan, Xiaohua Jia
SIAMCOMP
1998
92views more  SIAMCOMP 1998»
14 years 9 months ago
Surface Approximation and Geometric Partitions
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...
Pankaj K. Agarwal, Subhash Suri
CCCG
2010
14 years 8 months ago
Determining the robustness of sensor barriers
Various notions of coverage provided by wireless sensor networks have attracted considerable attention over the past few years. In general, coverage can be expressed geometrically...
David G. Kirkpatrick
COMPGEOM
2007
ACM
14 years 11 months ago
Between umbra and penumbra
Computing shadow boundaries is a difficult problem in the case of non-point light sources. A point is in the umbra if it does not see any part of any light source; it is in full l...
Julien Demouth, Olivier Devillers, Hazel Everett, ...
JCT
2011
89views more  JCT 2011»
14 years 5 months ago
On lines, joints, and incidences in three dimensions
We extend (and somewhat simplify) the algebraic proof technique of Guth and Katz [7], to obtain several sharp bounds on the number of incidences between lines and points in three ...
György Elekes, Haim Kaplan, Micha Sharir