English

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

Data Structures and Algorithms 2011-10-26 v2

Abstract

We give an O(nlog3n)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(\epsilon)}) time.

Keywords

Cite

@article{arxiv.1110.1320,
  title  = {An efficient polynomial-time approximation scheme for Steiner forest in planar graphs},
  author = {David Eisenstat and Philip Klein and Claire Mathieu},
  journal= {arXiv preprint arXiv:1110.1320},
  year   = {2011}
}

Comments

added material on balanced branch decompositions; fixed theorem references

R2 v1 2026-06-21T19:16:13.099Z