Branching Solutions To One-dimensional Variational Problems

Alexandr Ivanov, Alexei Avgustinovich Tuzhilin (Autoren)

Buch | Hardcover

364 Seiten

2001
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-4060-8 (ISBN)

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This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. It investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented.

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.

Preliminary results; networks extremality criteria; linear networks in RN; extremals of length type functionals - the case of parametric networks; extremals of functionals generated by norms.

Erscheint lt. Verlag	18.1.2001
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-02-4060-0 / 9810240600
ISBN-13	978-981-02-4060-8 / 9789810240608
Zustand	Neuware