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

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dc.creatorDoye, Jonathan P. K.
dc.creatorMassen, Claire P.
dc.date2004-07-29
dc.date2004-11-25
dc.date.accessioned2026-07-07T02:59:29Z
dc.date.available2026-07-07T02:59:29Z
dc.descriptionThe 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.
dc.description13 pages, 12 figures; some bugs fixed and further discussion of higher-dimensional packings
dc.identifierhttps://arxiv.org/abs/cond-mat/0407779
dc.identifierhttp://arxiv.org/abs/cond-mat/0407779
dc.identifierPhys. Rev. E 71, 016128 (2005)
dc.identifierdoi:10.1103/PhysRevE.71.016128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24530
dc.subjectStatistical Mechanics
dc.titleSelf-similar disk packings as model spatial scale-free networks
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