Abstract

A line that intersects every member of a finite family F of convex sets in the plane is called a line transversal to F. In this paper we will survey the main results and open problems concerning T(3)-families: Finite families of convex sets in the plane in which every subfamily of size 3 admit a line transversal.KeywordsConvex BodyLine TransversalPartial TransversalOriented MatroidDisjoint PairThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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