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arXiv · 1302.7270

A polynomial-time approximation scheme for Euclidean Steiner forest

Glencora Borradaile·Philip Klein·Claire Mathieu
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Abstract

We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed eps > 0 and given n terminals in the plane with connection requests between some pairs of terminals, our scheme finds a (1 + eps)-approximation to the minimum-length forest that connects every requested pair of terminals.

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Glencora Borradaile, Philip Klein, Claire Mathieu. 2013-02-28. A polynomial-time approximation scheme for Euclidean Steiner forest. https://arxiv.org/abs/1302.7270

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