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An Approximation Scheme for Terrain Guarding
Book chapter   Peer reviewed

An Approximation Scheme for Terrain Guarding

Matt Gibson, Gaurav Kanade, Erik Krohn and Kasturi Varadarajan
Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, pp.140-148
Lecture Notes in Computer Science, Springer Berlin Heidelberg
2009
DOI: 10.1007/978-3-642-03685-9_11

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Abstract

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 algorithm inspired by the recent results of Chan and Har-Peled [2] and Mustafa and Ray [15]. Our key contribution is to show the existence of a planar graph that appropriately relates the local and global optimum.
Blue Point Local Search Local Search Algorithm Planar Graph Simple Polygon

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