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Organization of complex networks without multiple connections | | S.N. Dorogovtsev
; J.F.F. Mendes
; A.M. Povolotsky
; A.N. Samukhin
; | | Date: |
8 May 2005 | | Subject: | Statistical Mechanics; Networking and Internet Architecture; High Energy Physics - Lattice; Physics and Society | cond-mat.stat-mech cs.NI hep-lat physics.soc-ph | | Abstract: | We find a new structural feature of equilibrium complex random networks without multiple and self-connections. We show that if the number of connections is sufficiently high, these networks contain a core of highly interconnected vertices. The number of vertices in this core varies in the range between $const N^{1/2}$ and $const N^{2/3}$, where $N$ is the number of vertices in a network. At the birth point of the core, we obtain the size-dependent cut-off of the distribution of the number of connections and find that its position differs from earlier estimates. | | Source: | arXiv, cond-mat/0505193 | | Services: | Forum | Review | PDF | Favorites | |
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