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

preprint2011arXivOpen access

Abstract

We give an O(nlog⁡3n)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(nf(ε))O(n^{f(ε)}) time.

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