Preprint
Sep 2026
A Near-Optimal Space Lower Bound for Euclidean Diameter Estimation in Dynamic Streams
We study the space complexity of diameter estimation for a set of points in Euclidean space in the dynamic (turnstile) streaming model. The seminal work of Indyk (SODA 2003) gives a $c$-approximation to the Euclidean diameter of $n$ vectors using $n^{O(1/c^2)}$ space. Our main contribution is giving an essentially matc...
Ashwin Padaki, Krish Singal, Erik Waingarten
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