Department of Computer Science | Institute of Theoretical Computer Science | CADMO
Prof. Emo Welzl and Prof. Bernd Gärtner
Mittagsseminar Talk Information |
Date and Time: Thursday, October 02, 2014, 12:15 pm
Duration: 30 minutes
Location: OAT S15/S16/S17
Speaker: Jean Cardinal (Université Libre de Bruxelles)
In the sixties, Erdős posed the problem of finding a lower bound on the largest number of points in general position among any set of points in the plane with no four on a line. We consider variants of this question for d-dimensional point sets and generalize previously known bounds. In particular, we prove that every set of C(q^d)log q points in d-space, for some absolute constant C>0, contains q cohyperplanar points or q points in general position. This is a joint work with Csaba Tóth and David Wood.
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