Synthesis of Complex Networks Regular Fractals
Author(s) -
Yuriy Danik,
Yurii Kulakov,
Vladimir Vorotnikov,
Igor Gumenyuk
Publication year - 2014
Publication title -
the advanced science journal
Language(s) - English
Resource type - Journals
eISSN - 2219-7478
pISSN - 2219-746X
DOI - 10.15550/asj.2014.10.072
Subject(s) - fractal , computer science , complex network , mathematics , world wide web , mathematical analysis
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 inprocess synthesized, through replacement of tops of count by a countfuse, and athe simplest, including affine transformations. The distinguishing feature of prefractal counts is pos sibility of receipt of numeral descriptions of network, coming from the analysis of properties of his countsfuses. For the got prefractal count properties o f fractal and scale invariance are investigational. An example of calculation of fractal dimension of prefracta l count of complex network is made at the use of square and threecornered blocks for coverage of network. It is shown that for the effective analysis of properties selfsimilarity of prefractal counts it is necessary to use V coverage Dependence of fractal dimension of prefra ctal count is investigational on the linear size of grate e 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.
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