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GUARDING TERRAINS VIA LOCAL SEARCH
Journal article   Open access

GUARDING TERRAINS VIA LOCAL SEARCH

Matt Gibson, Gaurav Kanade, Erik Krohn and Kasturi Varadarajan
Journal of computational geometry, Vol.5(1), pp.168-178
05/01/2014
DOI: 10.20382/jocg.v5i1a9
url
https://doi.org/10.20382/jocg.v5i1a9View
Published (Version of record) Open Access

Abstract

We obtain a polynomial time approximation scheme for the 1.5D 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 Ilar-Peled [3] and Mustafa and Ray [18]. Our key contribution is to show the existence of a planar graph that appropriately relates the local and global optimum.
Mathematics Physical Sciences Science & Technology

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