Steiner Minimal Trees

The problem of "Shortest Connectivity", which is discussed here, has a long and convoluted history. Many scientists from many fields as well as laymen have stepped on its stage. Usually, the problem is known as Steiner's Problem and it can be described more precisely in the following...

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Bibliographic Details
Main Author: Cieslik, Dietmar
Format: eBook
Language:English
Published: New York, NY Springer US 1998, 1998
Edition:1st ed. 1998
Series:Nonconvex Optimization and Its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 SMT and MST in Metric Spaces — A Survey
  • 3 Fermat’s Problem in Banach-Minkowski Spaces
  • 4 The Degrees of the Vertices in Shortest Trees
  • 5 1-Steiner-Minimal-Trees
  • 6 Methods to Construct Shortest Trees
  • 7 The Steiner Ratio of Banach-Minkowski Spaces
  • 8 Generalizations
  • References