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arXiv · 1112.5818

A Note on Edge Guards in Art Galleries

R. Nandakumar
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Abstract

We examine the Art Gallery Problem with Edge Guards. We present a heuristic algorithm to arrange edge guards to guard only the inward side of the walls of any N-vertex simple polygonal gallery using at most roof (N/4) edge guards - a weakened version of Toussaint's conjecture on the number of edge guards that can guard an entire simple polygon. Our study indicates that solving this weaker problem could give a handle on the full problem.

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R. Nandakumar. 2012-07-15. A Note on Edge Guards in Art Galleries. https://arxiv.org/abs/1112.5818

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