Max-Flow on Regular Spaces

نویسندگان

  • Ulrich Faigle
  • Walter Kern
  • Britta Peis
چکیده

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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عنوان ژورنال:
  • CoRR

دوره abs/1206.5167  شماره 

صفحات  -

تاریخ انتشار 2012