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» Optimal Cover of Points by Disks in a Simple Polygon
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COMPGEOM
1994
ACM
15 years 1 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 1 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 2 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
75
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DCOSS
2009
Springer
15 years 4 months 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
15 years 4 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