Practical Minimum Cut Algorithms

  title={Practical Minimum Cut Algorithms},
  author={Monika Henzinger and Alexander Noe and Christian Schulz and Darren Strash},
  journal={Journal of Experimental Algorithmics (JEA)},
  pages={1 - 22}
The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. Here, we introduce a linear-time algorithm to compute near-minimum cuts. Our algorithm is based on cluster contraction using label propagation and Padberg and Rinaldi’s contraction heuristics [SIAM Review, 1991]. We give both sequential and shared-memory parallel implementations of our algorithm. Extensive experiments on both real… 

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