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    Largest Subsets of Triangles in a Triangulation ∗

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    Given a triangulation of n points, with some triangles marked “good”, this paper discusses the problems of computing the largest-area connected set of good triangles that (i) is convex, (ii) is monotone, (iii) has a bounded total angular change, or (iv) has a bounded negative turning angle. The first, second, and fourth problems are solved in polynomial time, the third problem is NP-hard.
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