A push-relabel framework for submodular function minimization and applications to parametric optimization

@article{Fleischer2003APF,
  title={A push-relabel framework for submodular function minimization and applications to parametric optimization},
  author={L. Fleischer and S. Iwata},
  journal={Discret. Appl. Math.},
  year={2003},
  volume={131},
  pages={311-322}
}
Recently, the first combinatorial strongly polynomial algorithms for submodular function minimization have been devised independently by Iwata, Fleischer, and Fujishige and by Schrijver. In this paper, we improve the running time of Schrijver's algorithm by designing a push-relabel framework for submodular function minimization (SFM). We also extend this algorithm to carry out parametric minimization for a strong map sequence of submodular functions in the same asymptotic running time as a… Expand
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