Reproduce “Beyond Gomory-Hu: All-Pairs $\times$ All-Pairs Mincuts in $O(n)$ Space” on OpenResearch

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About this paper

Koustav Bhanja, Merav Parter, Asaf Petruschka

The authors build a linear-space structure for recovering all minimum-cut separations for a queried terminal pair in an undirected connected graph with positive integer edge weights. After an O(n)-time update, it tests separability in O(1) and reports a cut in O(|C|) time. It also supports single-edge failure queries in undirected multigraphs, not multiple failures.

Summary by alphaXiv.

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