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On the Configuration Space of Steiner Minimal Trees

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 نشر من قبل Nataliya Strelkova
 تاريخ النشر 2019
  مجال البحث
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Among other results, we prove the following theorem about Steiner minimal trees in $d$-dimensional Euclidean space: if two finite sets in $mathbb{R}^d$ have unique and combinatorially equivalent Steiner minimal trees, then there is a homotopy between the two sets that maintains the uniqueness and the combinatorial structure of the Steiner minimal tree throughout the homotopy.

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