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Apollonian networks: Simultaneously scale-free, small world, euclidean, space filling, and with matching graphs

ANDRADE, José S ; HERRMANN, Hans J ; ANDRADE, Roberto F. S ; DA SILVA, Luciano R

Physical review letters, 2005-01, Vol.94 (1), p.018702.1-018702.4, Article 018702 [Periódico revisado por pares]

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Título:
Apollonian networks: Simultaneously scale-free, small world, euclidean, space filling, and with matching graphs
Autor: ANDRADE, José S ; HERRMANN, Hans J ; ANDRADE, Roberto F. S ; DA SILVA, Luciano R
Assuntos: Exact sciences and technology ; Physics
É parte de: Physical review letters, 2005-01, Vol.94 (1), p.018702.1-018702.4, Article 018702
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: We introduce a new family of networks, the Apollonian networks, that are simultaneously scale-free, small-world, Euclidean, space filling, and with matching graphs. These networks describe force chains in polydisperse granular packings and could also be applied to the geometry of fully fragmented porous media, hierarchical road systems, and area-covering electrical supply networks. Some of the properties of these networks, namely, the connectivity exponent, the clustering coefficient, and the shortest path are calculated and found to be particularly rich. The percolation, the electrical conduction, and the Ising models on such networks are also studied and found to be quite peculiar. Consequences for applications are also discussed.
Editor: Ridge, NY: American Physical Society
Idioma: Inglês

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