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

Jonathan P. K. Doye·Claire P. Massen
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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.

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Jonathan P. K. Doye, Claire P. Massen. 2004-11-25. Self-similar disk packings as model spatial scale-free networks. https://doi.org/10.1103/physreve.71.016128

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