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Faster and More Dynamic Maximum Flow by Incremental Breadth-First Search

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Book cover Algorithms - ESA 2015

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9294))

Abstract

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.

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Author information

Authors and Affiliations

  1. Amazon.com Inc., Seattle, USA

    Andrew V. Goldberg & Renato F. Werneck

  2. School of Computer Science, Tel Aviv University, Tel Aviv, Israel

    Sagi Hed & Haim Kaplan

  3. Microsoft Research, Cambridge, UK

    Pushmeet Kohli

  4. Department of Computer Science, Princeton University and Intertrust Technologies, Princeton, USA

    Robert E. Tarjan

Authors
  1. Andrew V. Goldberg
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  2. Sagi Hed
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  3. Haim Kaplan
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  4. Pushmeet Kohli
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  5. Robert E. Tarjan
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  6. Renato F. Werneck
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Corresponding author

Correspondence to Andrew V. Goldberg .

Editor information

Editors and Affiliations

  1. University of Technology, Eindhoven, The Netherlands

    Nikhil Bansal

  2. Sapienza University of Rome, Rome, Italy

    Irene Finocchi

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Goldberg, A.V., Hed, S., Kaplan, H., Kohli, P., Tarjan, R.E., Werneck, R.F. (2015). Faster and More Dynamic Maximum Flow by Incremental Breadth-First Search. In: Bansal, N., Finocchi, I. (eds) Algorithms - ESA 2015. Lecture Notes in Computer Science(), vol 9294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48350-3_52

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  • DOI: https://doi.org/10.1007/978-3-662-48350-3_52

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48349-7

  • Online ISBN: 978-3-662-48350-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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