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The VPN conjecture is trueIn STOC '08: Proceedings of the 40th annual ACM symposium on Theory of computing (2008), pp. 443-450.
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AbstractWe consider the following network design problem. We are given an undirected graph G=(V,E) with edges costs c(e) and a set of terminal nodes W. A hose demand matrix for W is any symmetric matrix [D ij ] such that for each i, ∑ j ≠ i D ij ≤ 1. We must compute the minimum cost edge capacities that are able to support the oblivious routing of every hose matrix in the network.
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