Approximating Disjoint-Path Problems Using Greedy Algorithms and Packing Integer Programs

@inproceedings{Kolliopoulos1998ApproximatingDP,
  title={Approximating Disjoint-Path Problems Using Greedy Algorithms and Packing Integer Programs},
  author={Stavros G. Kolliopoulos and Clifford Stein},
  booktitle={IPCO},
  year={1998}
}
In the edge(vertex)-disjoint path problem we are given a graph $G$ and a set ${\cal T}$ of connection requests. Every connection request in ${\cal T}$ is a vertex pair $(s_i,t_i),$ $1 \leq i \leq K.$ The objective is to connect a maximum number of the pairs via edge(vertex)-disjoint paths. The edge-disjoint path problem can be generalized to the multiple-source unsplittable flow problem where connection request $i$ has a demand $\rho_i$ and every edge $e$ a capacity $u_e.$ All these problems… 

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