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Hardness of Robust Network Design

By C. Chekuri, G. Oriolo, M. G. Scutella and F. B. Shepherd


We settle the complexity status of the robust network design problem in undirected graphs by showing that the single-source hose design problem is coNP-Hard. This single-source model captures, as special cases, the fractional relaxations of several problems including the spanning tree problem, the Steiner tree problem, and the path trees problem

Topics: network design, single-source hose model, robust optimization
Year: 2009
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