Branching Solutions to One-Dimensional Variational Problems (Hardcover)

~ Alexandr O. Ivanov (Author), A. A. Tuzhilin (Author) "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..." (more)
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Editorial Reviews

Review

"nice contribution to the study of Steiner trees and a useful reference to the researchers in mathematics and computer science." -- Mathematics Abstracts, 2002

Product 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.

Product Details

• Hardcover: 364 pages
• Publisher: World Scientific Publishing Company (April 2001)
• Language: English
• ISBN-10: 9810240600
• ISBN-13: 978-9810240608
• Product Dimensions: 8.8 x 6.2 x 1 inches
• Shipping Weight: 1.5 pounds (View shipping rates and policies)
• Average Customer Review: No customer reviews yet. Be the first.
• Amazon.com Sales Rank: #7,635,918 in Books (See Bestsellers in Books)