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Branching Solutions To One-dimensional Variational Problems
Branching Solutions To One-dimensional Variational Problems
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A01=Alexandr Ivanov
A01=Alexei Avgustinovich Tuzhilin
Author_Alexandr Ivanov
Author_Alexei Avgustinovich Tuzhilin
Category=PBKQ
Category=PBMP
Category=PBP
Combinatorial
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Extreme Networks
Geometrical Optimization
Geometrical Variational Problems
Steiner Problem
Product details
- ISBN 9789810240608
- Publication Date: 18 Jan 2001
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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.
Branching Solutions To One-dimensional Variational Problems
€172.36
