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arXiv · 1508.01097

Finding Points in General Position

Vincent Froese·Iyad Kanj·André Nichterlein·Rolf Niedermeier
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Abstract

We study computational aspects of the General Position Subset Selection problem defined as follows: Given a set of points in the plane, find a maximum-cardinality subset of points in general position. We prove that General Position Subset Selection is NP-hard, APX-hard, and give several fixed-parameter tractability results as well as a subexponential running time lower bound based on the Exponential Time Hypothesis.

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Vincent Froese, Iyad Kanj, André Nichterlein, Rolf Niedermeier. 2015-08-05. Finding Points in General Position. https://arxiv.org/abs/1508.01097

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