Article ID Journal Published Year Pages File Type
4647166 Discrete Mathematics 2015 9 Pages PDF
Abstract
Let P be a set of n points in the plane that determines at most n/5 distinct distances. We show that no line can contain more than O(n43/52polylog(n)) points of P. We also show a similar result for rectangular distances, equivalent to distances in the Minkowski plane, where the distance between a pair of points is the area of the axis-parallel rectangle that they span.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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