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IJCGA
2007
58views more  IJCGA 2007»
14 years 11 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
14 years 9 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
14 years 5 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
14 years 2 months 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»
15 years 2 months 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...