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arXiv · 2401.09700

Fully Dynamic Min-Cut of Superconstant Size in Subpolynomial Time

Wenyu Jin·Xiaorui Sun·Mikkel Thorup
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Abstract

We present a deterministic fully dynamic algorithm with subpolynomial worst-case time per graph update such that after processing each update of the graph, the algorithm outputs a minimum cut of the graph if the graph has a cut of size at most $c$ for some $c = (\log n)^{o(1)}$. Previously, the best update time was $\widetilde O(\sqrt{n})$ for any $c > 2$ and $c = O(\log n)$ [Thorup, Combinatorica'07].

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Wenyu Jin, Xiaorui Sun, Mikkel Thorup. 2024-01-18. Fully Dynamic Min-Cut of Superconstant Size in Subpolynomial Time. https://arxiv.org/abs/2401.09700

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