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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
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Steiner Trees in Industry

Steiner Trees in Industry

Cheng, Xiuzhen
Du, Ding-Zhu

Hardcover

Series: Combinatorial Optimization, Book 11

Technology & EngineeringGeneral Mathematics

ISBN10: 1402000995
ISBN13: 9781402000997
Publisher: Springer
Published: Oct 31 2001
Pages: 507
Weight: 2.06
Height: 1.34 Width: 6.64 Depth: 9.72
Language: English
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.

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