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The Cartographer
All-Pairs Minimum Cut using $\tilde{O}(n^{7/4})$ Cut Queries
October 19, 2025 Β· Declared Dead Β· + Add venue
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Authors
Yotam Kenneth-Mordoch, Robert Krauthgamer
arXiv ID
2510.16741
Category
cs.DS: Data Structures & Algorithms
Citations
0
Last Checked
4 months ago
Abstract
We present the first non-trivial algorithm for the all-pairs minimum cut problem in the cut-query model. Given cut-query access to an unweighted graph $G=(V,E)$ with $n$ vertices, our randomized algorithm constructs a Gomory-Hu tree of $G$, and thus solves the all-pairs minimum cut problem, using $\tilde{O}(n^{7/4})$ cut queries.
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