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arXiv · 2512.23468

Pseudodeterministic Algorithms for Minimum Cut Problems

Aryan Agarwala·Nithin Varma
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Abstract

In this paper, we present efficient pseudodeterministic algorithms for both the global minimum cut and minimum s-t cut problems. The running time of our algorithm for the global minimum cut problem is asymptotically better than the fastest sequential deterministic global minimum cut algorithm (Henzinger, Li, Rao, Wang; SODA 2024). Furthermore, we implement our algorithm in sequential, streaming, PRAM, and cut-query models, where no efficient deterministic global minimum cut algorithms are known.

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Aryan Agarwala, Nithin Varma. 2025-12-29. Pseudodeterministic Algorithms for Minimum Cut Problems. https://arxiv.org/abs/2512.23468

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