Network Structures from Selection Principles

Details Network Structures from Selection Principles Network Structures from Selection Principles

2004-06-30

arxiv.org/abs/cond-mat/0406763v1

Phys. Rev. Lett. 92, 198701 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.92.198701

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.

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