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Branching Solutions to One-dimensional Variational Problems
By A O Ivanov, A. A. Tuzhilin
World Scientific Publishing Company | ISBN: 9810240600 | 2001-04 | PDF | 364 pages | 7 Mb
This study 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) it investigates 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.
Download:
http://depositfiles.com/files/3ay7vkttr
By A O Ivanov, A. A. Tuzhilin
World Scientific Publishing Company | ISBN: 9810240600 | 2001-04 | PDF | 364 pages | 7 Mb
This study 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) it investigates 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.
Download:
http://depositfiles.com/files/3ay7vkttr