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Titlebook: Steiner Minimal Trees; Dietmar Cieslik Book 1998 Springer Science+Business Media Dordrecht 1998 Graph theory.Mathematica.calculus.computer

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,Fermat’s Problem in Banach-Minkowski Spaces,tances to the three given points is a minimum. Torricelli solved this problem in 1646. He asserted that the circles that circumscribe the equilateral triangles constructed on the side of and outside of the given triangle intersect in the desired point, called the Torricelli point.
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The Degrees of the Vertices in Shortest Trees, the networks. On the one hand, the determination of these numbers is the problem to classify singularities in network minimizing for arbitrary norms. On the other hand, this question is closely related to the theory of singularities in energy-minimizing surfaces. The latter task is of great practic
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1571-568X 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 way: Given a finite set of points in a metric space, search for a network that connects these points with the shortest possible length. This shortest netwo
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