|
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
|