Single-sink Fractionally Subadditive Network Design

  title={Single-sink Fractionally Subadditive Network Design},
  author={Guru Guruganesh and Jennifer Iglesias and Ramamoorthi Ravi and Laura Sanit{\`a}},
We study a generalization of the Steiner tree problem, where we are given a weighted network $G$ together with a collection of $k$ subsets of its vertices and a root $r$. We wish to construct a minimum cost network such that the network supports one unit of flow to the root from every node in a subset simultaneously. The network constructed does not need to support flows from all the subsets simultaneously. We settle an open question regarding the complexity of this problem for $k=2$, and give… 
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