The Steiner Ratio (Hardcover)

Preface. 1. The Historical Genesis. 2. Networks, Spaces and Algorithms. 3. Shortest Trees in Metric Spaces - A Survey. 4. The Steiner Ratio of Metric Spaces. 5. The Steiner Ratio of Banach-Minkowski Spaces. 6. Euclidean Spaces. 7. The Steiner Ratio of Neighboured Spaces. 8. Banach-Minkowski Planes. 9. The Steiner Ratio and the Embedding of Spaces. 10. The Steiner Ratio and Discrete Geometry. 11. The Dependence of the Steiner Ratio on the Dimension. 12. Related Questions. References. Index.