Network Structures from Selection Principles
Statistical Mechanics
2009-11-10 v1
Abstract
We present an analysis of the topologies of a class of networks which are optimal in terms of the requirements of having as short a route as possible between any two nodes while yet keeping the congestion in the network as low as possible. Strikingly, we find a variety of distinct topologies and novel phase transitions between them on varying the number of links per node. Our results suggest that the emergence of the topologies observed in nature may arise both from growth mechanisms and the interplay of dynamical mechanisms with a selection process.
Cite
@article{arxiv.cond-mat/0406763,
title = {Network Structures from Selection Principles},
author = {Vittoria Colizza and Jayanth R. Banavar and Amos Maritan and Andrea Rinaldo},
journal= {arXiv preprint arXiv:cond-mat/0406763},
year = {2009}
}
Comments
4 pages, 5 figures