Branching Solutions to One-Dimensional Variational Problems (Hardcover) (ISBN-13: 9789810240608)

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.

Author: Alexandr Ivanov,Alexei Avgustinovich Tuzhilin
ISBN-10: 9810240600
ISBN-13: 9789810240608
Publisher: World Scientific Publishing Company
Language: English
Published: 01/18/2001
Pages: 364
Format: Hardcover
Weight: 1.40lbs
Size: 8.84h x 6.19w x 1.05d