https://repositorio.ufba.br/handle/ri/6609
Tipo: | Artigo de Periódico |
Título: | Apollonian Networks: Simultaneously Scale-Free, Small World, Euclidean, Space Filling, and with Matching Graphs |
Título(s) alternativo(s): | Physical Review Letters |
Autor(es): | Andrade Júnior, José Soares de Herrmann, Hans J. Andrade, Roberto Fernandes Silva Silva, Luciano R. da |
Autor(es): | Andrade Júnior, José Soares de Herrmann, Hans J. Andrade, Roberto Fernandes Silva Silva, Luciano R. da |
Abstract: | 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. |
Editora / Evento / Instituição: | American Physical Society |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/6609 |
Data do documento: | 14-Jan-2005 |
Aparece nas coleções: | Artigo Publicado em Periódico (FIS) |
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(174).pdf | 100,85 kB | Adobe PDF | Visualizar/Abrir |
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