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Max-Flow on Regular Spaces

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 نشر من قبل Ulrich Faigle
 تاريخ النشر 2012
  مجال البحث الهندسة المعلوماتية
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The max-flow and max-coflow problem on directed graphs is studied in the common generalization to regular spaces, i.e., to kernels or row spaces of totally unimodular matrices. Exhibiting a submodular structure of the family of paths within this model we generalize the Edmonds-Karp variant of the classical Ford-Fulkerson method and show that the number of augmentations is quadratically bounded if augmentations are chosen along shortest possible augmenting paths.

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