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.
[MS04] Joseph S
2 Pith papers cite this work. Polarity classification is still indexing.
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Subquadratic Õ(n^{2-1/48}) algorithm for shortest tours of disjoint orthogonal polygons, plus linear-time results for ortho-convex and rectangular cases.
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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.
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Touring a Sequence of Orthogonal Polygons
Subquadratic Õ(n^{2-1/48}) algorithm for shortest tours of disjoint orthogonal polygons, plus linear-time results for ortho-convex and rectangular cases.