Book 11

Xiuzhen ChengDing-Zhu DuDecember 1, 2013

Springer Science & Business MediaThis 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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Publisher

Springer Science & Business Media

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Published on

Dec 1, 2013

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Pages

507

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ISBN

9781461302551

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Language

English

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Genres

Computers / CAD-CAM

Computers / Computer Science

Computers / Networking / General

Computers / Networking / Hardware

Science / Life Sciences / Evolution

Technology & Engineering / Electrical

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