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Article collection "Mathematical Problems of Cybernetics" №16, Moscow, 2007
Authors: Ivanov A.O., Tuzhilin A.A.
Uniqueness of the shortest tree spanning a boundary in general position in the plane
In the paper the following result is presented: there exists an open everywhere dense subset U⊂R2n, such that any P∈U considered as an enumerated n-element subset of the standard Euclidean plane, is connected by unique Steiner minimal tree, i.e., a non-degenerate shortest tree.
Steiner problem, shortest tree, minimal network, Steiner minimal tree
Publication language: russian, pages: 8 (p. 155-162)
Research direction:
Mathematical problems and theory of numerical methods
Source text: