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- W2890680374 abstract "We show that geometric hitting set with axis-parallel rectangles is APX-hard even when all rectangles share a common point. We also show that geometric hitting set problem is APX-hard for several classes of objects given in [3] such as axis-parallel ellipses with a shared point, axis-parallel cubes sharing a common point, etc. Further, we give a polynomial time approximation scheme (PTAS) for the weighted hitting set problem with axis-parallel rectangles when all rectangles have integer side lengths bounded by a constant C. Finally, we show that the problem is NP-hard for rectangles of size 1×2 and 2×1 even when every rectangle intersects a given unit height horizontal strip." @default.
- W2890680374 created "2018-09-27" @default.
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- W2890680374 date "2019-01-01" @default.
- W2890680374 modified "2023-09-24" @default.
- W2890680374 title "Approximability and hardness of geometric hitting set with axis-parallel rectangles" @default.
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- W2890680374 doi "https://doi.org/10.1016/j.ipl.2018.09.003" @default.
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