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Energy landscapes, scale-free networks and Apollonian packings

Jonathan P. K. Doye·Claire P. Massen
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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.

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Jonathan P. K. Doye, Claire P. Massen. 2006-12-06. Energy landscapes, scale-free networks and Apollonian packings. https://arxiv.org/abs/cond-mat/0612150

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