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Branching Solutions To One-dimensional Variational Problems
Alexandr Ivanov, Alexei Avgustinovich Tuzhilin
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- English
- PDF
- Available on iOS & Android
eBook - PDF
Branching Solutions To One-dimensional Variational Problems
Alexandr Ivanov, Alexei Avgustinovich Tuzhilin
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About This Book
This book deals with the new class of one-dimensional variational problems â 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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