O(n log n) algorithm and matching Omega(n log n) lower bound for partitioning a simple polygon's boundary into the minimum number of contiguous visible segments.
Eidenbenz, Christoph Stamm, and Peter Widmayer
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The Contiguous Art Gallery Problem is in {\Theta}(n log n)
O(n log n) algorithm and matching Omega(n log n) lower bound for partitioning a simple polygon's boundary into the minimum number of contiguous visible segments.