DOI: 10.15550/ASJ.2014.10.072 SYNTHESIS OF COMPLEX NETWORKS REGULAR FRACTALS

Abstract. The article is sacred to the questions of design of topology of complex networks with the use of new methods of fractal geometry. A complex network structure is in-process synthesized, through replacement of tops of count by a count-fuse, and also the simplest, including affine transformations. The distinguishing feature of pre-fractal counts is possibility of receipt of numeral descriptions of network, coming from the analysis of properties of his counts-fuses. For the got pre-fractal count properties of fractal and scale invariance are investigational. An example of calculation of fractal dimension of pre-fractal count of complex network is made at the use of square and three-cornered blocks for coverage of network. It is shown that for the effective analysis of properties self-similarity of pre-fractal counts it is necessary to use V-coverage Dependence of fractal dimension of pre-fractal count is investigational on the linear size of grate ε-coverage with the purpose of determining the amount of factors, influencing on the system. They got results are actual at the decision of intricate problems