Self-similar disk packings as model spatial scale-free networks

Details Self-similar disk packings as model spatial scale-free networks Self-similar disk packings as model spatial scale-free networks

2004-07-29

arxiv.org/abs/cond-mat/0407779v3

Phys. Rev. E 71, 016128 (2005)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 12 figures; some bugs fixed and further discussion of higher-dimensional packings

Scientific paper

10.1103/PhysRevE.71.016128

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.

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