2015 | OriginalPaper | Buchkapitel
Faster and More Dynamic Maximum Flow by Incremental Breadth-First Search
verfasst von : Andrew V. Goldberg, Sagi Hed, Haim Kaplan, Pushmeet Kohli, Robert E. Tarjan, Renato F. Werneck
Erschienen in: Algorithms - ESA 2015
Verlag: Springer Berlin Heidelberg
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We introduce the
Excesses Incremental Breadth-First Search
(Excesses IBFS) algorithm for maximum flow problems. We show that Excesses IBFS has the best overall practical performance on real-world instances, while maintaining the same polynomial running time guarantee of
O
(
mn
2
) as IBFS, which it generalizes. Some applications, such as video object segmentation, require solving a series of maximum flow problems, each only slightly different than the previous. Excesses IBFS naturally extends to this dynamic setting and is competitive in practice with other dynamic methods.