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Author

Robert Krauthgamer

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Conference Aug 2026

Fast Metric Decompositions in High Dimension

Metric decompositions are a fundamental tool in the design of algorithms involving distances. We study fast algorithms for sampling from probabilistic metric decompositions of $n$-point sets in $\ell_\infty$ and $\ell_2$ spaces of high dimension $d$. For $\ell_\infty$, we design a padded-decomposition algorithm that ru...

Robert Krauthgamer, Asaf Petruschka, Nir Petruschka · 0 citations
Preprint Jul 2026

Fully Dynamic Edge Connectivity in $\tilde{O}(n^{12/13})$ Time

This work designs a randomized algorithm for maintaining edge connectivity in dynamic simple graphs using worst-case update and query time $\tilde{O}(n^{12/13})$ for all values of $\lambda_G$.

Yotam Kenneth-Mordoch, Robert Krauthgamer · 0 citations

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