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Branching solutions to one-dimensional variational problemsкнига
- Авторы: Ivanov A.O., Tuzhilin A.A.
- Год издания: 2001
- Место издания: World Scientific Publishing Co. Inc River Edge, NJ
- Объём: 364 страниц
- ISBN: 981-02-4060-0
- Монография
- DOI: 10.1142/9789812810717
- Аннотация: 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 a shortest network connecting given points of the plain.
- Добавил в систему: Иванов Александр Олегович