Minimal NetworksThe Steiner Problem and Its Generalizations

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

1. Complete Classification of Minimal 2-Trees with Convex Boundaries. 2. Nondegenerate Minimal Networks with Convex Boundaries: Cyclical Case -- Ch. 7. Planar Local Minimal Networks with Regular Boundaries. 1. Rains. 2. Construction of a Minimal Realization of a Snake on an Arbitrary Set. 3. An Existence Theorem for a Snake Spanning a Regular n-gon. 4. Skeletons and Regular n-gons. 5. Criterion for the Existence of an RM-Realization of a Nonlinear Skeleton. 6. RM-Realization of Skeletons with Three Ends -- 7. Appendix -- Ch. 8. Closed Minimal Networks on Closed Surfaces of Constant Curvature. 1. Minimal Networks on Surfaces of Constant Positive Curvature. 2. Classification of Closed Minimal Networks on Flat Tori. 3. Classification of Closed Minimal Networks on Flat Klein Bottles. 4. Closed Networks on Two-Dimensional Surfaces of Negative Curvature -- Ch. 9. Minimal Networks in Other Spaces. 1. The Case of Polyhedra. 2. Classification of Closed Minimal Networks on Regular Tetrahedra. 3. Networks on the Lobachevskian Plane

Author(s): Alexander O. Ivanov, Alexei A. Tuzhilin
Edition: 1
Publisher: CRC Press
Year: 1994

Language: English
Pages: 429