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Extreme Networks

Extreme Networks This paper is supposed to be a review on the new branch of mathematics – extreme networks theory that appeared at the crossroad of differential geometry, variational calculus and discrete mathematics. One of the starting points of the theory is the geometrical approach to the Steiner problem. The authors have selected the most impressive results of the theory demonstrating a new approach, new effects, and new constructions appearing in this context. One of the main aims of the paper is to attract the attention of the specialist from similar fields to this new and rapidly developing theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

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References (98)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1010618110177
Publisher site
See Article on Publisher Site

Abstract

This paper is supposed to be a review on the new branch of mathematics – extreme networks theory that appeared at the crossroad of differential geometry, variational calculus and discrete mathematics. One of the starting points of the theory is the geometrical approach to the Steiner problem. The authors have selected the most impressive results of the theory demonstrating a new approach, new effects, and new constructions appearing in this context. One of the main aims of the paper is to attract the attention of the specialist from similar fields to this new and rapidly developing theory.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 19, 2004

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