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Energy landscapes, scale-free networks and Apollonian packings

Jonathan P. K. Doye and Claire P. Massen

in

Complexity, Metastability and Nonextensivity

31st Workshop of the International School of Solid State Physics

ed. C. Beck, G. Benedek, A. Rapisarda and C. Tsallis

Abstract

We review recent results on the topological properties of two spatial scale-free networks, the inherent structure and Apollonian networks. The similarities between these two types of network suggest an explanation for the scale-free character of the inherent structure networks. Namely, that the energy landscape can be viewed as a fractal packing of basins of attraction.


The full paper is available from arXiv.org.
The networks described in this paper are available here