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Updated: Aug 1, 2026

Design, Surface Treatment, Cellular Plating, and Culturing of Modular Neuronal Networks Composed of Functionally Inter-connected Circuits
Published on: April 15, 2015
Organization of complex networks without multiple connections
S N Dorogovtsev1, J F F Mendes, A M Povolotsky
1Departamento de Física da Universidade de Aveiro, 3810-193 Aveiro, Portugal.
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 x N1/2 and const x N2/3, where is the number of vertices in a network. At the birth point of the core, we obtain the size-dependent cutoff of the distribution of the number of connections and find that its position differs from earlier estimates.
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