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CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 5 months ago
Guarding curvilinear art galleries with vertex or point guards
Menelaos I. Karavelas, Elias P. Tsigaridas
SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 5 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
CCCG
2009
13 years 3 months ago
Wireless Localization with Vertex Guards is NP-hard
We consider a special class of art gallery problems inspired by wireless localization. Given a simple polygon P, place and orient guards each of which broadcasts a unique key with...
Tobias Christ, Michael Hoffmann
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...
COMBINATORICS
2006
155views more  COMBINATORICS 2006»
13 years 5 months ago
Orthogonal Art Galleries with Holes: A Coloring Proof of Aggarwal's Theorem
We prove that n+h 4 vertex guards are always sufficient to see the entire interior of an n-vertex orthogonal polygon P with an arbitrary number h of holes provided that there exis...
Pawel Zylinski