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"item_title" : "Branching Solutions to One-Dimensional Variational Problems",
"item_author" : [" Alexandr Ivanov", "Alexei Avgustinovich Tuzhilin "],
"item_description" : "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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Branching Solutions to One-Dimensional Variational Problems
Overview
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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Details
- ISBN-13: 9789810240608
- ISBN-10: 9810240600
- Publisher: World Scientific Publishing Company
- Publish Date: January 2001
- Dimensions: 8.84 x 6.19 x 1.05 inches
- Shipping Weight: 1.4 pounds
- Page Count: 364
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