An improved LP-based approximation for steiner tree

  title={An improved LP-based approximation for steiner tree},
  author={Jaroslaw Byrka and Fabrizio Grandoni and Thomas Rothvo\ss and Laura Sanit{\`a}},
The Steiner tree problem is one of the most fundamental NP-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum-cost tree spanning the terminals. In a sequence of papers, the approximation ratio for this problem was improved from 2 to the current best 1.55 [Robins,Zelikovsky-SIDMA'05]. All these algorithms are purely combinatorial. A long-standing open problem is whether there is an LP-relaxation for Steiner tree with integrality gap smaller than 2… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 13 references

Tighter Bounds for Graph Steiner Tree Approximation

SIAM J. Discrete Math. • 2005
View 13 Excerpts
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Optimum branchings

J. Edmonds
J. Res. Nat. Bur. Standards, B71:233–240 • 1967
View 8 Excerpts
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A Partition-Based Relaxation For Steiner Trees

View 6 Excerpts
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Approximation Algorithms

Springer Berlin Heidelberg • 2001
View 4 Excerpts
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