On Exact Solutions for the Rectilinear Steiner Tree Problem

  title={On Exact Solutions for the Rectilinear Steiner Tree Problem},
  author={Ulrich F{\"o}\ssmeier and Michael Kaufmann},
  booktitle={Symposium on Computational Geometry},
The rectilinear Steiner tree problem asks for a shortest tree connecting given points in the plane with rectilinear distance. To find exact solutions for such problems is very challenging and could be done only for problems of very small size. The best theoretically analysed algorithms for this problem have a running time of O(n2. 2.62 ") (Gan-ley/Cohoon) resp. n o (W Smith), The best implementa-(tions use Branch & Bound and can solve random problems of size 35 (Salowe/ Warme) witbin a day… CONTINUE READING
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How to nd Steiner minimal trees in Euclidian d-space

  • W. D. Smith
  • Algorithmica 7
  • 1992
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