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Multiflow Feasibility: An Annotated Tableau

In: Research Trends in Combinatorial Optimization

Author

Listed:
  • Guyslain Naves

    (CNRS, INPG, UJF, Laboratoire G-SCOP)

  • András Sebő

    (CNRS, INPG, UJF, Laboratoire G-SCOP)

Abstract

Summary We provide a tableau of 189 entries and some annotations presenting the computational complexity of integer multiflow feasibility problems; 21 entries remain open. The tableau is followed by an introduction to the field, providing more problems, reproving some results with new insights, simple proofs, or slight sharpenings motivated by the tableau, paying particular attention to planar (di)graphs with terminals on the boundary. Last, the key-theorems and key-problems of the tableau are listed.

Suggested Citation

  • Guyslain Naves & András Sebő, 2009. "Multiflow Feasibility: An Annotated Tableau," Springer Books, in: William Cook & László Lovász & Jens Vygen (ed.), Research Trends in Combinatorial Optimization, chapter 12, pages 261-283, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-76796-1_12
    DOI: 10.1007/978-3-540-76796-1_12
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