Author

Krish Singal

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Preprint Sep 2026

Fast Geometric Spanners via Approximate Nearest Neighbor Search

We study the problem of constructing metric spanners in general metric spaces in subquadratic time when given blackbox access to a fast algorithm for batch approximate nearest neighbor search. In particular, we show the following results for any metric space $\mathsf{M} = ([n], \mathsf{d})$ with aspect ratio $\Delta$ a...

Alexandr Andoni, M. Páez, Krish Singal et al. · 0 citations

Preprint Sep 2026

A Near-Optimal Space Lower Bound for Euclidean Diameter Estimation in Dynamic Streams

The main contribution is giving an essentially matching lower bound on the space complexity of diameter estimation for a set of points in Euclidean space in the dynamic (turnstile) streaming model.

Ashwin Padaki, Krish Singal, Erik Waingarten · 0 citations