# O(log 2 k/ log log k)-Approximation Algorithm for Directed Steiner Tree: A Tight Quasi-Polynomial-Time Algorithm

Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 2019.

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Directed Steiner Tree Quasi-Polynomial Time Sherali-Adams Hierarchy

Abstract:

In the Directed Steiner Tree (DST) problem we are given an n-vertex directed edge-weighted graph, a root r , and a collection of k terminal nodes. Our goal is to find a minimum-cost subgraph that contains a directed path from r to every terminal. We present an O(log^2 k /log log k )-approximation algorithm for DST that runs in quasi-polyn...More

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