Massively Parallel Algorithms for Minimum Cut

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Abstract

We present two Massively Parallel Computation (MPC) algorithms for the Minimum Cut problem: an O(1)-round exact algorithm with Õ(n) memory per machine, and an O(log n · log log n) round (2 + ϵ) approximation with Õ(nα) memory per machine, for any positive constant α < 1. Both algorithms use Õ(m) global memory.

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Ghaffari, M., & Nowicki, K. (2020). Massively Parallel Algorithms for Minimum Cut. In Proceedings of the Annual ACM Symposium on Principles of Distributed Computing (pp. 119–128). Association for Computing Machinery. https://doi.org/10.1145/3382734.3405737

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