Advances in Steiner Trees pp 235-253 | Cite as

# A Fully Polynomial Approximation Scheme for the Euclidean Steiner Augmentation Problem

Chapter

## Abstract

The *Euclidean Steiner Augmentation Problem* has as input a set of straight line segments drawn in the Euclidean plane, and has as output the smallest set of straight line segments, in terms of total Euclidean length, whose addition will make the resulting set 2-edge connected. A fully polynomial approximation scheme is given for this problem in the case where the input set is connected. Several extensions and variants are also discussed.

## Keywords

Straight Line Segment Steiner Point Survivable Network Steiner Tree Problem Steiner Minimal Tree
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