Near-Optimal Distributed Maximum Flow

  title={Near-Optimal Distributed Maximum Flow},
  author={Mohsen Ghaffari and Andreas Karrenbauer and Fabian Kuhn and Christoph Lenzen and Boaz Patt-Shamir},
We present a near-optimal distributed algorithm for (1 + o(1))-approximation of single-commodity maximum flow in undirected weighted networks that runs in (D + √ n) · n communication rounds in the CONGEST model. Here, n and D denote the number of nodes and the network diameter, respectively. This is the first improvement over the trivial bound of O(n), and it nearly matches the Ω̃(D + √ n) round complexity lower bound. The development of the algorithm contains two results of independent… CONTINUE READING
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A note on cutapproximators and approximating undirected max flows

  • S. A. Plotkin, D. B. Shmoys, É. Tardos
  • 2014

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