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
Mathematical problems and theory of numerical methods