title: Self-similar disk packings as model spatial scale-free networks.
abstract: 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.
authors.affiliation: University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom. jpkd1@cam.ac.uk
authors.forename: Jonathan P K
authors.initials: JP
authors.lastname: Doye
authors.forename: Claire P
authors.initials: CP
authors.lastname: Massen