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» The Guarding Problem - Complexity and Approximation
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CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 5 months ago
Improved Approximation for Guarding Simple Galleries from the Perimeter
We provide an O(log log OPT)-approximation algorithm for the problem of guarding a simple polygon with guards on the perimeter. We first design a polynomial-time algorithm for bui...
James King, David G. Kirkpatrick
ICCS
2003
Springer
13 years 10 months ago
Approximation Algorithms to Minimum Vertex Cover Problems on Polygons and Terrains
We propose an anytime algorithm to compute successively better approximations of the optimum of Minimum Vertex Guard. Though the presentation is focused on polygons, the work may b...
Ana Paula Tomás, António Leslie Baju...
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
13 years 11 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
13 years 11 months ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
ALENEX
2007
130views Algorithms» more  ALENEX 2007»
13 years 6 months ago
Locating Guards for Visibility Coverage of Polygons
We propose heuristics for visibility coverage of a polygon with the fewest point guards. This optimal coverage problem, often called the “art gallery problem”, is known to be ...
Yoav Amit, Joseph S. B. Mitchell, Eli Packer