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Branching solutions to one-dimensional variational problems
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 ap...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
World Scientific
2001
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/517325 |
| _version_ | 1780897697082900480 |
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| author | Ivanov, A O Tuzhilin, A A |
| author_facet | Ivanov, A O Tuzhilin, A A |
| author_sort | Ivanov, A O |
| collection | CERN |
| 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. Contents: Preliminary Results; Networks Extremality Criteria; Linear Networks in R N; Extremals of Length Type Functionals: The |
| id | cern-517325 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2001 |
| publisher | World Scientific |
| record_format | invenio |
| spelling | cern-5173252021-04-22T02:52:30Zhttp://cds.cern.ch/record/517325engIvanov, A OTuzhilin, A ABranching solutions to one-dimensional variational problemsMathematical Physics and MathematicsThis 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. Contents: Preliminary Results; Networks Extremality Criteria; Linear Networks in R N; Extremals of Length Type Functionals: The World Scientificoai:cds.cern.ch:5173252001 |
| spellingShingle | Mathematical Physics and Mathematics Ivanov, A O Tuzhilin, A A Branching solutions to one-dimensional variational problems |
| title | Branching solutions to one-dimensional variational problems |
| title_full | Branching solutions to one-dimensional variational problems |
| title_fullStr | Branching solutions to one-dimensional variational problems |
| title_full_unstemmed | Branching solutions to one-dimensional variational problems |
| title_short | Branching solutions to one-dimensional variational problems |
| title_sort | branching solutions to one-dimensional variational problems |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/517325 |
| work_keys_str_mv | AT ivanovao branchingsolutionstoonedimensionalvariationalproblems AT tuzhilinaa branchingsolutionstoonedimensionalvariationalproblems |