Self-similar disk packings as model spatial scale-free networks.
The network of contacts in space-filling disk packings, such as the Apollonian packing, is 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 is characterized. Their potential as models for networks of connected minima on energy landscapes is discussed.
Doye
Jonathan P K
JP
University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom. jpkd1@cam.ac.uk
Massen
Claire P
CP