On the configuration space of Steiner minimal trees

@inproceedings{Edelsbrunner2013OnTC,
  title={On the configuration space of Steiner minimal trees},
  author={Herbert Edelsbrunner and N. P. Strelkova},
  year={2013}
}
Among other results, we prove the following theorem about Steiner minimal trees in ddimensional Euclidean space: if two finite sets in R 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… CONTINUE READING