# Advances in Steiner Trees

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Part of the Combinatorial Optimization book series (COOP, volume 6)

- Editors
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Part of the Combinatorial Optimization book series (COOP, volume 6)

The Volume on Advances in Steiner Trees is divided into two sections. The first section of the book includes papers on the general geometric Steiner tree problem in the plane and higher dimensions. The second section of the book includes papers on the Steiner problem on graphs. The general geometric Steiner tree problem assumes that you have a given set of points in some d-dimensional space and you wish to connect the given points with the shortest network possible. The given set ofpoints are 3 Figure 1: Euclidean Steiner Problem in E usually referred to as terminals and the set ofpoints that may be added to reduce the overall length of the network are referred to as Steiner points. What makes the problem difficult is that we do not know a priori the location and cardinality ofthe number ofSteiner points. Thus)the problem on the Euclidean metric is not known to be in NP and has not been shown to be NP-Complete. It is thus a very difficult NP-Hard problem.

Approximation algorithms complexity computer computer science graphs linear optimization network networks optimization

- DOI https://doi.org/10.1007/978-1-4757-3171-2
- Copyright Information Springer-Verlag US 2000
- Publisher Name Springer, Boston, MA
- eBook Packages Springer Book Archive
- Print ISBN 978-1-4419-4824-3
- Online ISBN 978-1-4757-3171-2
- Series Print ISSN 1388-3011
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