A Note on Edge Guards in Art Galleries

Details A Note on Edge Guards in Art Galleries A Note on Edge Guards in Art Galleries

2011-12-26

arxiv.org/abs/1112.5818v2

Mathematics

Metric Geometry

6 pages

Scientific paper

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

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