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Engineering Art Galleries

ALGORITHM ENGINEERING: SELECTED RESULTS AND SURVEYS(2016)

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Abstract
The Art Gallery Problem is one of the most well-known problems in Computational Geometry, with a rich history in the study of algorithms, complexity, and variants. Recently there has been a surge in experimental work on the problem. In this survey, we describe this work, show the chronology of developments, and compare current algorithms, including two unpublished versions, in an exhaustive experiment. Furthermore, we show what core algorithmic ingredients have led to recent successes.
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Key words
Art gallery problem,Computational geometry,Linear programming,Experimental algorithmics
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