A polylogarithmic approximation algorithm for the group Steiner tree problem
Journal of Algorithms
Approximation algorithms
On the terminal Steiner tree problem
Information Processing Letters
Polylogarithmic inapproximability
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
A note on the terminal Steiner tree problem
Information Processing Letters
Theoretical Computer Science
A tight bound on approximating arbitrary metrics by tree metrics
Journal of Computer and System Sciences - Special issue: STOC 2003
Algorithms for terminal Steiner trees
Theoretical Computer Science
On the full and bottleneck full Steiner tree problems
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
An improved LP-based approximation for steiner tree
Proceedings of the forty-second ACM symposium on Theory of computing
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The main contribution of this short note is to provide improved bounds on the approximability of constructing terminal Steiner trees in arbitrary undirected graphs. Technically speaking, our results are obtained by relating this computational task to that of computing group Steiner trees. As a secondary objective, we make a concentrated effort to distinguish between the factor by which constructed trees exceed the optimal backbone cost and between the deviation from the optimal terminal linking cost.