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Home / Branching Solutions To One-dimensional Variational Problems
Branching Solutions To One-dimensional Variational Problems
Hardback

Branching Solutions To One-dimensional Variational Problems

Alexandr Ivanov (Moscow State Univ, Russia),Alexei Avgustinovich Tuzhilin (Moscow State Univ, Russia),Alexander Tuzhilin
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This study 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) it investigates 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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MORE INFO
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Date
18 January 2001
Pages
364
ISBN
9789810240608

This study 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) it investigates 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.

Read More
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Date
18 January 2001
Pages
364
ISBN
9789810240608

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