Advances in Steiner Trees (Combinatorial Optimization, 6) - Hardcover

Hardcover

ISBN 10: 0792361105 ISBN 13: 9780792361107

Publisher: Springer, 2000

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 2000
• Language: English
• ISBN 10: 0792361105
• ISBN 13: 9780792361107
• Binding: Hardcover
• Number of pages: 335
• Editor: Du Ding-Zhu, Smith J.M., Rubinstein J. Hyam