Steiner Trees in Industry
(Sprache: Englisch)
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...
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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.
This book is a collection of 16 state-of-the-art articles contributed by the most influential experts in the field of Steiner tree applications. The articles are designed to explore the impact on industries of the long-term theoretical development of Steiner tree problems. The authors address various Steiner tree problems originating from and applied to industry fields, such as the design of electronic circuits, telecommunication networks, computer networks, and computer biology. This book is a good reference tool for scientists who depend on Steiner tree problems in some way. Audience: Researchers in computer science, mathematics, and electrical engineering, as well as students. This book is suitable for both specialists and uniformed readers.
Inhaltsverzeichnis zu „Steiner Trees in Industry “
Foreword. Steiner Minimum Trees in Uniform Orientation Metrics; M. Brazil. Genetic Algorithm Approaches to Solve Various Steiner Tree Problems; G. Chakraborty. Neural Network Approaches to Solve Various Steiner Tree Problems; G. Chakraborty. Steiner Tree Problems in VLSI Layout Designs; Jung-Dong Cho. Polyhedral Approaches for the Steiner Tree Problem on Graphs; S. Chopra, Chih-Yang Tsai. The Perfect Phylogeny Problem; D. Fernández-Baca. Approximation Algorithms for the Steiner Tree Problems in Graphs; C. Gröpl, et al. A Proposed Experiment on Soap Film Solutions of Planar Euclidean Steiner Trees; F.K. Hwang. SteinLib: An Updated Library on Steiner Tree Problems in Graphs; T. Koch, et al. Steiner Tree Based Distributed Multicast Routing in Networks; R. Novak, et al. On Cost Allocation in Steiner Tree Networks; D. Skorin-Kapov. Steiner Trees and the Dynamic Quadratic Assignment Problem; J.M. Smith. Polynomial Time Algorithms for the Rectilinear Steiner Tree Problem; D.A. Thomas, Jai F. Weng. Minimum Networks for Separating and Surrounding Objects; Jai F. Weng. A First Level Scatter Search Implementation for Solving the Steiner Ring Problem in Telecommunications Network Design; Jiefeng Xu, et al. The Rectilinear Steiner Tree Problem: A Tutorial; M. Zachariasen.
Bibliographische Angaben
- 2001, 2001., 507 Seiten, Maße: 16,9 x 24,7 cm, Gebunden, Englisch
- Herausgegeben von Cheng, Xiuzhen; Du, Ding-Zhu
- Herausgegeben: Xiuzhen Cheng, Ding-Zhu Du
- Verlag: Springer
- ISBN-10: 1402000995
- ISBN-13: 9781402000997
- Erscheinungsdatum: 31.10.2001
Sprache:
Englisch
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