Rubinstein, J. H.; Thomas, D. A.; Weng, J. Minimum networks for four points in space. (English) Zbl 1009.05042 Geom. Dedicata 93, 57-70 (2002). The Steiner tree problem in space is much harder then in the plane. It is shown here, for instance, that Steiner trees on 4 points in space in general cannot be solved by radicals (see also St. Mehlhos [Beitr. Algebra Geom. 41, 151-158 (2000; Zbl 0947.90094)]). The optimal Steiner tree ratio for 4 points in space is also determined. Reviewer: Imre Bárány (Budapest) Cited in 9 Documents MSC: 05C05 Trees 65K10 Numerical optimization and variational techniques Keywords:minimum network; Steiner tree Citations:Zbl 0947.90094 PDF BibTeX XML Cite \textit{J. H. Rubinstein} et al., Geom. Dedicata 93, 57--70 (2002; Zbl 1009.05042) Full Text: DOI OpenURL