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IJCGA
2007
58views more  IJCGA 2007»
13 years 8 months ago
Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint
Given a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering inform...
Olivier Devillers, Vida Dujmovic, Hazel Everett, S...
FOCS
2010
IEEE
13 years 7 months ago
A Non-linear Lower Bound for Planar Epsilon-Nets
We show that the minimum possible size of an -net for point objects and line (or rectangle)ranges in the plane is (slightly) bigger than linear in 1/ . This settles a problem rais...
Noga Alon
MMAS
2010
Springer
13 years 3 months ago
Enhancement of Electromagnetic Fields Caused by Interacting Subwavelength Cavities
This article is devoted to the asymptotic analysis of the electromagnetic fields scattered by a perfectly conducting plane containing two sub-wavelength rectangular cavities. The p...
Jean-François Babadjian, Eric Bonnetier, Fa...
GC
2011
Springer
13 years 13 days ago
Minimum Clique Partition in Unit Disk Graphs
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
Adrian Dumitrescu, János Pach
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
14 years 21 days ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...