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» Optimal Cover of Points by Disks in a Simple Polygon
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COMPGEOM
1994
ACM
15 years 10 months ago
Competitive Searching in a Generalized Street
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Amitava Datta, Christian Icking
COMPGEOM
1995
ACM
15 years 9 months ago
Searching for the Kernel of a Polygon - A Competitive Strategy
We present a competitive strategy for walking into the kernel of an initially unknown star-shaped polygon. From an arbitrary start point, s, within the polygon, our strategy find...
Christian Icking, Rolf Klein
IWPEC
2004
Springer
15 years 11 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
DCOSS
2009
Springer
16 years 18 days ago
Cheap or Flexible Sensor Coverage
We consider dual classes of geometric coverage problems, in which disks, corresponding to coverage regions of sensors, are used to cover a region or set of points in the plane. The...
Amotz Bar-Noy, Theodore Brown, Matthew P. Johnson,...
STACS
2010
Springer
16 years 1 months ago
Relaxed Spanners for Directed Disk Graphs
Let (V, δ) be a finite metric space, where V is a set of n points and δ is a distance function defined for these points. Assume that (V, δ) has a constant doubling dimension d...
David Peleg, Liam Roditty