3 Stabbing segments
نویسندگان
چکیده
In this paper, we answer the question: Given a collection of compact sets, can one decide in polynomial time whether there exists a convex body whose boundary intersects every set in the collection? We prove that already when the sets are segments in the plane, deciding existence of a convex stabber is NP-complete. On the positive side, we give a polynomial-time algorithm (in the full paper) to find a convex transversal to a maximum number of pairwise-disjoint segments (or pseudodisks) in the plane.
منابع مشابه
New Results on Stabbing Segments with a Polygon
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