A quasi-PTAS for unsplittable flow on line graphs

  title={A quasi-PTAS for unsplittable flow on line graphs},
  author={Nikhil Bansal and Amit Chakrabarti and Amir Epstein and Baruch Schieber},
We study the Unsplittable Flow Problem (UFP) on line graphs and cycles, focusing on the long-standing open question of whether the problem is APX-hard. We describe a deterministic quasi-polynomial time approximation scheme for UFP on line graphs, thereby ruling out an APX-hardness result, unless NP ⊆ DTIME(2polylog(n)). Our result requires a quasi-polynomial bound on all edge capacities and demands in the input instance. We extend this result to undirected cycle graphs.Earlier results on this… CONTINUE READING
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