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CIAC
2003
Springer
110views Algorithms» more  CIAC 2003»
13 years 10 months ago
Maximizing the Guarded Boundary of an Art Gallery Is APX-Complete
In the Art Gallery problem, given is a polygonal gallery and the goal is to guard the gallery’s interior or walls with a number of guards that must be placed strategically in the...
Euripides Markou, Stathis Zachos, Christodoulos Fr...
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...
SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Guarding curvilinear art galleries with edge or mobile guards
In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves. We consider two types of guards: edge guards (these...
Menelaos I. Karavelas