An efficient polynomial-time approximation scheme for Steiner forest in planar graphs
David Eisenstat, Philip Klein, Claire Mathieu·2011-10-07·via cs.DS updates on arXiv.org
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 $O(n^{f(ε)})$ time.