<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks"^^ . "We study the betweenness centrality of fractal and nonfractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality C of nodes is much weaker in fractal network models compared to nonfractal models. We also show that nodes of both fractal and nonfractal scale-free networks have power-law betweenness centrality distribution P(C)∼C−δ. We find that for nonfractal scale-free networks δ=2, and for fractal scale-free networks δ=2−1∕dB, where dB is the dimension of the fractal network. We support these results by explicit calculations on four real networks: pharmaceutical firms (N=6776), yeast (N=1458), WWW (N=2526), and a sample of Internet network at the autonomous system level (N=20566), where N is the number of nodes in the largest connected component of a network. We also study the crossover phenomenon from fractal to nonfractal networks upon adding random edges to a fractal network. We show that the crossover length ℓ*, separating fractal and nonfractal regimes, scales with dimension dB of the network as p−1∕dB, where p is the density of random edges added to the network. We find that the correlation between degree and betweenness centrality increases with p."^^ . "2007-05" . . . "75" . "5" . . "American Physical Society"^^ . . . "Physical Review E"^^ . . . "15393755" . . . . . . . . . . . . . . . . . . . . . . "Gerald"^^ . "Paul"^^ . "Gerald Paul"^^ . . "Shlomo"^^ . "Havlin"^^ . "Shlomo Havlin"^^ . . "Maksim"^^ . "Kitsak"^^ . "Maksim Kitsak"^^ . . "Massimo"^^ . "Riccaboni"^^ . "Massimo Riccaboni"^^ . . "H. Eugene"^^ . "Stanley"^^ . "H. Eugene Stanley"^^ . . "Fabio"^^ . "Pammolli"^^ . "Fabio Pammolli"^^ . . . . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (PDF)"^^ . . . . . . . . . . . "betweenness_2007a.pdf"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (Image (JPEG))"^^ . . . . . . "preview.jpg"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (Indexer Terms)"^^ . . . . . . "indexcodes.txt"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (PDF)"^^ . . . . . "PhysRevE.Riccaboni_Pammolli_2007.pdf"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Betweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #643 \n\nBetweenness centrality of fractal and nonfractal scale-free model networks and tests on real networks\n\n" . "text/html" . . . "QC Physics"@en . .