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Branching Solutions to One-Dimensional Variational Problems 14.0%OFF

Branching Solutions to One-Dimensional Variational Problems

by Alexandr O. Ivanov and A. A. Tuzhilin

  • ISBN

    :  

    9789810240608

  • Publisher

    :  

    World Scientific Pub Co Inc

  • Subject

    :  

    Mathematics

  • Binding

    :  

    HARDCOVER

  • Pages

    :  

    364

  • Year

    :  

    2001

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21496.0

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  • Description

    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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