Approximating shallow-light trees
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms for directed Steiner problems
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Polylogarithmic inapproximability
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
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We show that the problem of constructing a minimum directed Steiner tree of depth O(logd n) in a directed graph of maximum outdegree d admits an exp O(√log n)-approximation in polynomial time.