An efficient polynomial-time approximation scheme for Steiner forest in planar graphs

Computer Science – Data Structures and Algorithms

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added material on balanced branch decompositions; fixed theorem references

Scientific paper

We give an $O(n \log^3 n)$ approximation scheme for Steiner forest in planar
graphs, improving on the previous approximation scheme for this problem, which
runs in $O(n^{f(\epsilon)})$ time.

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