Self-similar disk packings as model spatial scale-free networks
arXiv:cond-mat/0407779 · doi:10.1103/PhysRevE.71.016128
Abstract
The network of contacts in space-filling disk packings, such as the Apollonian packing, are examined. These networks provide an interesting example of spatial scale-free networks, where the topology reflects the broad distribution of disk areas. A wide variety of topological and spatial properties of these systems are characterized. Their potential as models for networks of connected minima on energy landscapes is discussed.
13 pages, 12 figures; some bugs fixed and further discussion of higher-dimensional packings