Motivation -- Guarding an Art Gallery

• what is the minimum number of cameras that cover the whole gallery?
• depends on polygon complexity
• express it in terms of n -- the number of vertices of the polygon
• but for same n, some polygons are hard, some easy (convex polygons can be guarded by 1 camera)
• so express the worst-case
• simplify the problem by decomposing the polygon into triangles (triangulation) and guarding the triangles

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