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It's at least as hard as the "Traveling Salesman" problem, that is NP complete: TSP asks whether a salesman can visit n towns while travelling a distance ≤ K. Take the special case of one worker, who can do n jobs in a day if and only he travels a distance ≤ K, then the question "can the single available worker do all jobs in one day" is equivalent to TSP. ...


As it is mentioned in this paper, you can find a concave-hull of points in a 2-dimensional plate in $O(n \log n)$ (as complex as finding a convex hull).

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