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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"nice contribution to the study of Steiner trees and a useful reference to the researchers in mathematics and computer science." -- Mathematics Abstracts, 2002
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
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To generalize the Classical Variational Problem to the case when the boundary set M consists of more than two points, first of all we need to define an analogue of a curve for which M can be considered as its boundary. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
To generalize the Classical Variational Problem to the case when the boundary set M consists of more than two points, first of all we need to define an analogue of a curve for which M can be considered as its boundary. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Example Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 6
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cites this book:
- Differential Geometry and Topology (Monographs in Contemporary Mathematics) by A.T. Fomenko in Back Matter
- Studies in Optimization (Studies in mathematics) by George Bernard Dantzig in Back Matter
- Minimal Surfaces (Advances in Soviet Mathematics) by A. T. Fomenko in Back Matter
- The Steiner Ratio by Dietmar Cieslik in Back Matter
- Steiner Minimal Trees (Nonconvex Optimization and Its Applications (closed)) by Dietmar Cieslik in Back Matter
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