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A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest

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3 Author(s)
Borradaile, G. ; Combinatorics & Optimization, Univ. of Waterloo, Waterloo, ON ; Klein, P.N. ; Mathieu, C.

We give a randomized O(n2 log n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed epsi > 0 and given any n pairs of terminals in the plane, our scheme finds a (1 + epsi)- approximation to the minimum-length forest that connects every pair of terminals.

Published in:

Foundations of Computer Science, 2008. FOCS '08. IEEE 49th Annual IEEE Symposium on

Date of Conference:

25-28 Oct. 2008