Stabbing Circles for Sets of Segments in the Plane
نویسندگان
چکیده
منابع مشابه
Topologically Distinct Sets of Non-intersecting Circles in the Plane
Nested parentheses are forms in an algebra which define orders of evaluations. A class of well-formed sets of associated opening and closing parentheses is well studied in conjunction with Dyck paths and Catalan numbers. Nested parentheses also represent cuts through circles on a line. These become topologies of non-intersecting circles in the plane if the underlying algebra is commutative. Thi...
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3 Stabbing segments
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...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2017
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-017-0299-z