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This paper studies a new version of the location problem called the mixedcenterlocation problem. Let P be a set of n points in the plane. We first consider the mixed 2-center problem, where one of the centers must be in P, and we solve it in $$O(n^2\log n)$$ O(n2logn) time. Second, we consider the mixed k-center problem, where m of the centers are in P, and we solve it in $$O(n^{m+O(\sqrt{k-m})})$$...
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