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5 - Flow in Networks

Published online by Cambridge University Press:  05 June 2012

Guy Even
Affiliation:
Tel-Aviv University
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Graph Algorithms , pp. 85 - 116
Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] B. V., Cherkassky and A. V., Goldberg. “On Implementing Push-Relabel Method for the Maximum Flow Problem.” Algorithmica, 19:390–410, 1997.Google Scholar
[2] E. A., Dinic. “Algorithm for Solution of a Problem of Maximum Flow in Networks with Power Estimation.” Soviet Math. Dokl., 11:1277–1280, 1970.Google Scholar
[3] Yefim Dinitz., Dinitz'Algorithm: The original version and Even's version. In Oded, Goldreich, Arnold L., Rosenberg, and Alan L., Selman, editors, Essays in Memory of Shimon Even, Vol. 3895 of Lecture Notes in Computer Science, pp. 218–240. Springer, 2006.Google Scholar
[4] J., Edmonds and R. M., Karp. “Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems.” J. Assoc. Comput. Mach., 19:248–264, 1972.Google Scholar
[5] S., Even and R. E., Tarjan. “Network Flow and Testing Graph Connectivity.” SIAM J. Comput., 4:507–518, 1975.Google Scholar
[6] L. R., Ford Jr., and D. R., Fulkerson. “Maximal Flow Through a Network.” Canadian Journal of Math., 8:399–404, 1956.Google Scholar
[7] L. R., Ford Jr., and D. R., Fulkerson. Flows in Networks. Princeton University Press, 1962.Google Scholar
[8] A. V., Goldberg and S., Rao. “Beyond the Flow Decomposition Barrier.” J. Assoc. Comput. Mach., 45:753–782, 1998.Google Scholar
[9] A. V., Goldberg and R. E., Tarjan. “A New Approach to the Maximum Flow Problem.” J. Assoc. Comput. Mach., 35:921–940, 1988.Google Scholar
[10] A. V., Goldberg and R. E., Tarjan. “Finding Minimum-Cost Circulations by Successive Approximation.” Math. of OR, 15:430–466, 1990.Google Scholar
[11] A. V., Karzanov. “O nakhozhdenii maksimal' nogo potoka v setyakh spetsial' nogo vida i nekotorykh prilozheniyakh.” In Matematicheskie Voprosy Upravleniya Proizvodstvom, volume 5. Moscow State University Press, 1973. In Russian; title translation: “On Finding Maximum Flows in Networks with Special Structure and Some Applications.”Google Scholar
[12] A. V., Karzanov. “Determining the Maximal Flow in a Network by the Method of Preflows.” Soviet Math. Dok., 15:434–437, 1974.Google Scholar
[13] V., King, S., Rao, and R., Tarjan. “A Faster Deterministic Maximum Flow Algorithm.” J. Algorithms, 17:447–474, 1994.Google Scholar
[14] D. D., Sleator and R. E., Tarjan. “A Data Structure for Dynamic Trees.” J. Comput. System Sci., 26:362–391, 1983.Google Scholar

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  • Flow in Networks
  • Shimon Even
  • Edited by Guy Even, Tel-Aviv University
  • Book: Graph Algorithms
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139015165.008
Available formats
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  • Flow in Networks
  • Shimon Even
  • Edited by Guy Even, Tel-Aviv University
  • Book: Graph Algorithms
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139015165.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Flow in Networks
  • Shimon Even
  • Edited by Guy Even, Tel-Aviv University
  • Book: Graph Algorithms
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139015165.008
Available formats
×