Article,

Evolution of Random Networks

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Phys. Rev. Lett., 81 (11): 2380--2383 (1998)
DOI: 10.1103/PhysRevLett.81.2380

Abstract

We investigate extremal dynamics on random networks. In the quenched case, after a transient time the dynamics is localized in the largest cluster. The activity in the largest cluster is nonergodic, with hot spots of activity typically centered around nodes with a high coordination number. The nonergodicity of the activity opens for models of evolving networks, which can self-organize into fractal geometries.

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