Erdos Distinct Distances Problem
GeometrySOLVED
Year
1946
Difficulty
*****
Solved by
Larry Guth & Nets Hawk Katz (2015)
Statement
n points in the plane determine at least Omega(n/log n) distinct distances.
About this Problem
Resolved up to log factor using algebraic methods and polynomial partitioning. A breakthrough in discrete geometry.
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