Combinatorial Optimization

Advances in Steiner Trees

Editors: Du, Ding-Zhu, Smith, J.M., Rubinstein, J. Hyam (Eds.)

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About this book

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.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-1-4757-3171-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $169.99
price for USA in USD
Softcover $169.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Steiner Trees
Editors
  • Ding-Zhu Du
  • J.M. Smith
  • J. Hyam Rubinstein
Series Title
Combinatorial Optimization
Series Volume
6
Copyright
2000
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-1-4757-3171-2
DOI
10.1007/978-1-4757-3171-2
Hardcover ISBN
978-0-7923-6110-7
Softcover ISBN
978-1-4419-4824-3
Series ISSN
1388-3011
Edition Number
1
Number of Pages
XII, 323
Topics