Author

Asaf Petruschka

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Preprint Sep 2026

An Optimal Structure for All-Pairs Nearest Mincuts and Sensitivity Oracles for Edge Insertions

Given an undirected weighted graph $G=(V,E)$ on $n$ vertices, the classical Gomory-Hu tree of $G$ is a structure that encodes an arbitrary minimum $s,t$-cut for every $s,t\in V$ using just $O(n)$ space. In this work, we ask whether the same compactness is achievable for the natural and structured family of all-pairs \t...

Koustav Bhanja, Yotam Kenneth-Mordoch, Asaf Petruschka · 0 citations

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 · Embedded Systems and Applica... · 0 citations