Speaker: Vašek Chvátal
Title: Points and Lines
Abstract: A set of n points in the Euclidean plane determines at least n distinct lines unless these n points are collinear. In 2006, Chen and Chvátalasked whether the same statement holds true in general metric spaces, where the line determined by points x and y is defined as the set consisting of x, y, and all points z such that one of the three points x, y, z lies between the other two. We will trace the curriculum vitae of the conjecture that it does hold true and point out related open problems.
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