| Advances in Steiner Trees 2000 Edition Contributor(s): Du, Ding-Zhu (Editor), Smith, J. M. (Editor), Rubinstein, J. Hyam (Editor) |
|
 |
ISBN: 0792361105 ISBN-13: 9780792361107 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: January 2000 |
| Additional Information |
| BISAC Categories: - Mathematics | Graphic Methods - Medical |
| Dewey: 511.52 |
| LCCN: 99056952 |
| Series: Combinatorial Optimization |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.44 lbs) 323 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |