Steiner Trees in Industry

Front Cover
Xiuzhen Cheng, Ding-Zhu Du
Springer Science & Business Media, Oct 31, 2001 - Computers - 507 pages
This book is a collection of articles studying various Steiner tree prob lems with applications in industries, such as the design of electronic cir cuits, computer networking, telecommunication, and perfect phylogeny. The Steiner tree problem was initiated in the Euclidean plane. Given a set of points in the Euclidean plane, the shortest network interconnect ing the points in the set is called the Steiner minimum tree. The Steiner minimum tree may contain some vertices which are not the given points. Those vertices are called Steiner points while the given points are called terminals. The shortest network for three terminals was first studied by Fermat (1601-1665). Fermat proposed the problem of finding a point to minimize the total distance from it to three terminals in the Euclidean plane. The direct generalization is to find a point to minimize the total distance from it to n terminals, which is still called the Fermat problem today. The Steiner minimum tree problem is an indirect generalization. Schreiber in 1986 found that this generalization (i.e., the Steiner mini mum tree) was first proposed by Gauss.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Other editions - View all

Common terms and phrases

Popular passages

Page 405 - Australian Photonics Cooperative Research Centre, Photonics Research Laboratory, Department of Electrical and Electronic Engineering, The University of Melbourne, VIC 3010, Australia. Tel: +6J -3-83444650: Fax: +61-3-83446678; E-mail: e.wong@ee.mu.oz.au *Redfem Broadband Networks, Australian Technology Park, Eveleigh, NSW 1430, Australia.
Page 405 - Centre for Ultra-Broadband Information Networks Department of Electrical and Electronic Engineering, The University of Melbourne, Melbourne, VIC 3010, Australia Email: j.guo@ee.mu.oz.au; m.zukerman@ee.mu.oz.au; h.vu@ee.mu.oz.au M.