Branching Solutions to One-Dimensional Variational Problems - Alexandr Ivanov,Alexei Avgustinovich Tuzhilin
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This book deals with the new class of one-dimensional variational problems -- the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of fi ... Täielik kirjeldus
Kirjeldus
This book deals with the new class of one-dimensional variational problems -- the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.
Lisateave
| Autor | Alexandr Ivanov, Alexei Avgustinovich Tuzhilin |
|---|---|
| Kirjastaja | World Scientific Publishing Company |
| Väljalaskeaasta | 2001 |
| Kaanetüüp | Kõvakaaneline |
| EAN | 9789810240608 |