DANIK Yu.G., KULAKOV Yu.A., VOROTNIKOV V.V.
ABSTRACT
The topological percolation structures of complex networks have been studied, and their transformation into fractal macrostructures has been executed. The example of calculation of fractal dimension of the data transfer route is presented in a scale-invariant network in the interval of boundary values of phase transition between the states «a maximal cluster» and «network consists of a few clusters». The dependence of fractal dimension of percolation cluster on the size of -coverage square side and the values of conductivity of the complex network has been investigated for determining the number of factors, influencing the system.
KEYWORDS
a complex network, scale-invariant network, percolation theory, percolation cluster, the phase transition, the fractal dimension.
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