Self-similar disk packings as model spatial scale-free networks
Statistical Mechanics
2007-05-23 v3
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.
Cite
@article{arxiv.cond-mat/0407779,
title = {Self-similar disk packings as model spatial scale-free networks},
author = {Jonathan P. K. Doye and Claire P. Massen},
journal= {arXiv preprint arXiv:cond-mat/0407779},
year = {2007}
}
Comments
13 pages, 12 figures; some bugs fixed and further discussion of higher-dimensional packings