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  Branching Solutions to One-Dimensional Variational Problems

Author Автор: VnRuEn | Date Дата: 5 июля 2018| Views Просмотров: 0

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Branching Solutions to One-Dimensional Variational Problems

Alexei Avgustinovich Tuzhilin, Alexandr Ivanov, "Branching Solutions to One-Dimensional Variational Problems"
2001 | pages: 365 | ISBN: 9810240600 | DJVU | 2,3 mb


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.
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