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Multicuts and integral multiflows in rings

Author

Listed:
  • Bentz, Cédric
  • Costa, Marie-Christine
  • Létocart, Lucas
  • Roupin, Frédéric

Abstract

We show how to solve in polynomial time the multicut and the maximum integral multiflow problems in rings. Moreover, we give linear-time procedures to solve both problems in rings with uniform capacities.

Suggested Citation

  • Bentz, Cédric & Costa, Marie-Christine & Létocart, Lucas & Roupin, Frédéric, 2009. "Multicuts and integral multiflows in rings," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1251-1254, August.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:3:p:1251-1254
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    References listed on IDEAS

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    1. John J. Bartholdi & James B. Orlin & H. Donald Ratliff, 1980. "Cyclic Scheduling via Integer Programs with Circular Ones," Operations Research, INFORMS, vol. 28(5), pages 1074-1085, October.
    2. Costa, Marie-Christine & Letocart, Lucas & Roupin, Frederic, 2005. "Minimal multicut and maximal integer multiflow: A survey," European Journal of Operational Research, Elsevier, vol. 162(1), pages 55-69, April.
    3. Rita Vachani & Alexander Shulman & Peter Kubat & Julie Ward, 1996. "Multicommodity Flows in Ring Networks," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 235-242, August.
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    Cited by:

    1. Bentz, Cédric & Cornaz, Denis & Ries, Bernard, 2013. "Packing and covering with linear programming: A survey," European Journal of Operational Research, Elsevier, vol. 227(3), pages 409-422.

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