Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, December 17, 2020, 12:15 pm

Duration: 30 minutes

Location: Zoom: conference room

Speaker: Emo Welzl

Deep Cliques in Point Sets

Given a set P of n points in general position in the plane, a pair {p,q} of points in P is called k-deep, if there are at least k points from P strictly on each side of the line spanned by p and q. A k-deep clique is a subset of P with all its pairs k-deep. We investigate the minimal and maximal possible size of a maximum k-deep clique of an n-point set.

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