Branching solutions to one-dimensional variational problems

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Branching solutions to one-dimensional...

Branching solutions to one-dimensional variational problems

Name: Branching solutions to one-dimensional variational problems
ISBN: 9789812810717

Alexandr O. Ivanov, A. A. 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 finding the shortest network spanning given points of the plane.

الفئات:

Mathematics

عام:

2001

الناشر:

World Scientific

اللغة:

english

الصفحات:

365

ISBN 10:

9812810714