Titlebook: Optimal Interconnection Trees in the Plane; Theory, Algorithms a Marcus Brazil,Martin Zachariasen Textbook 2015 Springer International Publ

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古文字学

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Steiner Trees with Other Cost Functions and Constraints,ons in the physical design of microchips; bottleneck and other .-Steiner tree problems, where there is a given bound on the number of Steiner points; and Steiner tree problems optimising a cost associated with flow on the network.

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GUISE

Rectilinear Steiner Trees,h some of the concepts in the earlier chapters, such as direction sets and canonical forms, is assumed. Here the fundamental properties are described in the first section, followed by global properties, two different algorithmic approaches and a discussion of special sets of points for which polynomial-time algorithms exist.

EWE

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Fixed Orientation Steiner Trees,blem under a norm in which the unit ball is a centrally symmetric polygon. The chapter builds on some of the more general properties of normed Steiner trees from Chapter . Here the fundamental theory is developed in the first three sections, followed by discussions of global properties and algorithm

最高点

Rectilinear Steiner Trees,the design of microchips), is the subject of this chapter. We have attempted to make the chapter reasonably self-contained, although a familiarity with some of the concepts in the earlier chapters, such as direction sets and canonical forms, is assumed. Here the fundamental properties are described

MOT

Steiner Trees with Other Cost Functions and Constraints,) but that still can be solved exactly by exploiting the geometric properties of minimal solutions. We focus particularly on four types of Steiner tree problems: the gradient-constrained Steiner tree problem, which serves as another example of an exactly solvable Steiner tree problem in a Minkowski