Disproofs of generalized Gilbert-Pollak conjecture on the Steiner ratio in three or more dimensions
Journal of Combinatorial Theory Series A
Intramolecular Structure of Proteins as Driven by Steiner Optimization Problems
ICSENG '05 Proceedings of the 18th International Conference on Systems Engineering
Biochemistry
Modelling biomolecular structure with geodesic curves through ordered sets of atom sites
International Journal of Bioinformatics Research and Applications
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We stress the convenience of some analytical methods which have been introduced recently [Mondaini, R. P.: In: Nonconvex Optimization and its Applications series, pp. 373---390. Kluwer Acad. (2003); Mondaini, R. P.: In: BIOMAT 2005, International Symposium on Mathematical and Computational Biology, pp. 327---342. World Scientific Co Ltd (2006)] for calculating the Steiner Ratio of finite sets of points in $${\mathbb{R}}^3$$ . These methods are good enough at reproducing the results obtained by reduction of the search space of numerical algorithms and can be easily extended to any number of dimensions.