Skip to main content

Multicommodity flows: A survey of recent research

Extended abstract

  • Session 7 Invited Paper
  • Conference paper
  • First Online:
Book cover Algorithms and Computation (ISAAC 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 762))

Included in the following conference series:

Portions of this paper were taken from [1]. This work was supported in part by Air Force Contract AFOSR F49620-92-J-0125 and DARPA Contracts N00014-91-J-1698 and N00014-92-J-1799.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baruch Awerbuch and Tom Leighton. A Simple local-control approximation algorithm for multicommodity flow. In Proc. 34th IEEE Symp. on Foundations of Computer Science. November. 1993. To appear.

    Google Scholar 

  2. Jack B. Dennis. Distributed solution of network programming problems. In IEEE Transactions of the Professional Technical Group on Communications Systems, volume CS-12, number 2, pages 176–184, June 1964.

    Google Scholar 

  3. L.R. Ford and D.R. Fulkerson. Flows in Networks. Princeton University Press, Princeton, NJ, 1962.

    Google Scholar 

  4. N. Garg, V. Vazirani, and M. Yannakakis. Approximate max-flow min-(multi)cut theorems and their applications. In Proc. 25th ACM Symp. on Theory of Computing, pages 698–707, May 1993.

    Google Scholar 

  5. A.V. Goldberg and R. E. Tarjan. Solving minimum-cost flow problems by successive approximation. Mathematics of Operations Research, 15(3):430–466, 1990.

    Google Scholar 

  6. A. V. Karzanov. Determining the maximal flow in a network by the method of preflows. Soviet Math. Dokl. 15:434–437, 1974.

    Google Scholar 

  7. P. Klein, A. Agrawal, R. Ravi, and S. Rao. Approximation through multicommodity flow. In Proc. 31st IEEE Symp. on Foundations of Computer Science, pages 726–727, 1990.

    Google Scholar 

  8. P. Klein, S. Plotkin, and S. Rao. Excluded minors, network decomposition, and multicommodity flow. In Proc. 25th ACM Symp. on Theory of Computing, pages 682–690, May 1993.

    Google Scholar 

  9. F. T. Leighton and Satish Rao. An approximate max-flow min-cut theorem for uniform multicommodity flow problems with applications to approximation algorithms. In 29th Annual Symposium on Foundations of Computer Science, IEEE, pages 422–431, 1988.

    Google Scholar 

  10. T. Leighton, F. Makedon, S. Plotkin, C. Stein, E. Tardos, and S. Tragoudas. Fast approximation algorithms for multicommodity flow problem. In Proc. 23rd ACM Symp. on Theory of Computing, pages 101–111, May 1991.

    Google Scholar 

  11. S. Plotkin and E. Tardos Improved bounds on the max-flow min-cut ratio for multicommodity flow. In Proc. 25th ACM Symp. on Theory of Computing, pages 691–697, May 1993.

    Google Scholar 

  12. S. Tragoudas. VLSI partitioning approximation algorithms based on multicommodity flows and other techniques. PhD thesis, University of Texas at Dallas, 1991.

    Google Scholar 

  13. Mark Tsimelzon. Bachelor thesis, MIT Lab. for Computer Science, 1993.

    Google Scholar 

  14. P.M. Vaidya. Speeding up linear programming using fast matrix multiplication. In Proc. 30th IEEE Symp. on Foundations of Computer Science, pages 332–337, 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K. W. Ng P. Raghavan N. V. Balasubramanian F. Y. L. Chin

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Awerbuch, B., Leighton, T. (1993). Multicommodity flows: A survey of recent research. In: Ng, K.W., Raghavan, P., Balasubramanian, N.V., Chin, F.Y.L. (eds) Algorithms and Computation. ISAAC 1993. Lecture Notes in Computer Science, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57568-5_260

Download citation

  • DOI: https://doi.org/10.1007/3-540-57568-5_260

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57568-9

  • Online ISBN: 978-3-540-48233-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics