Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, November 20, 2018, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Luis Barba

Testing if V-polytopes and H-polytopes intersect

We consider the two possible representation of d-dimensional polytopes: either as the convex hull of a set of n points (V-polytope), or as the intersection of a set of m halfspaces (H-polytope). We study the problem of deciding whether a V-polytope and an H-polytope intersect. We discuss how known approaches can be used to attack this problem, and we provide a very simple strategy that leads to an algorithm, linear on n and m, whose leading constant depends reasonably on the dimension d.

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