Summary: Structural results for planar sets with many similar subsets
1
Bernardo M. Ábrego
bernardo.abrego@csun.edu
2
György Elekes
elekes@cs.elte.hu
1
Silvia Fernández-Merchant
silvia.fernandez@csun.edu
1
California State University, Northridge. 2
Eötvös University.
April 2002
Abstract
Consider a k-element subset P of the plane. It is known that the maximum number of sets
similar to P that can be found among n points in the plane is (n2
) if and only if the cross
ratio of any quadruplet of points in P is algebraic [3], [9].
In this paper we study the structure of the extremal n-sets A which have cn2

Source: Abrego, Bernardo - Department of Mathematics, California State University, Northridge
Fernandez, Silvia - Department of Mathematics, California State University, Northridge

Collections: Mathematics