Advances in Steiner Trees: 6 (Combinatorial Optimization, 6)

Ding-Zhu Du, J.M. Smith, J. Hyam Rubinstein

ISBN 10: 0792361105 / ISBN 13: 9780792361107

Published by Springer, 2000

About this Item

Seller Inventory # LU-9780792361107

Bibliographic Details

• Title: Advances in Steiner Trees: 6 (Combinatorial Optimization, 6)
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 0792361105
• ISBN 13: 9780792361107
• Binding: Book
• Edition: 2000th.
• Condition: New
• Dimensions: 15.6W x 2.06H x 23.39D centimeters 15.6 centimeters width by 2.06 centimeters height by 23.39 centimeters depth
• Weight: 653 grams

About this title

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.