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Optimal Parameterized Algorithms for Planar Facility Location Problems Using Voronoi Diagrams

Optimal Parameterized Algorithms for Planar Facility Location Problems Using Voronoi Diagrams

We study a general family of facility location problems defined on planar graphs and on the two-dimensional plane. In these problems, a subset of k objects has to be selected, satisfying certain packing (disjointness) and covering constraints. Our main result is showing that, for each of these problems, the n …