Restricted Point Configurations with Many Collinear k- tupletsIsmailescu, Dan (2001) Restricted Point Configurations with Many Collinear k- tuplets. Technical Report. Hofstra University. Full text available as:
AbstractGiven n points in the plane such that no k+1 of them are collinear, what is the maximum number of lines each containing exactly k of these points? Erdos raised this problem more than 40 years ago. We present a new lower bound improving an old result of Grunbaum.
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