Estimation of Data Transfer Routes Fractal Dimension in Large Scale Networks

Journal Title: Journal of Mathematics and System Science - Year 2016, Vol 6, Issue 1

Abstract

The article is devoted to the evaluation of fractal properties of routing data in computer large scale networks. Implemented the study of percolation network topological structures of large dimension and made their transformation into fractal macrostructure. An example of calculating the fractal dimension of the data path for the boundary of the phase transition between the states of network connectivity. The dependence of the fractal dimension of the percolation cluster on the size of the square δ-cover and conductivity value network of large dimension. It is shown that for the value of the fractal dimension of the route dC ≈ 1.5 , network has a stable dynamics of development and size of clusters are optimized with respect to the current load on the network

Authors and Affiliations

Yurij Danik, Vladimir Vorotnikov, Igor Gumenyuk

Keywords

Related Articles

Estimation of Data Transfer Routes Fractal Dimension in Large Scale Networks

The article is devoted to the evaluation of fractal properties of routing data in computer large scale networks. Implemented the study of percolation network topological structures of large dimension and made their trans...

Download PDF file
  • EP ID EP112160
  • DOI 10.17265/2159-5291/2016.01.004
  • Views 165
  • Downloads 0

How To Cite

Yurij Danik, Vladimir Vorotnikov, Igor Gumenyuk (2016). Estimation of Data Transfer Routes Fractal Dimension in Large Scale Networks. Journal of Mathematics and System Science, 6(1), 38-45. https://www.europub.co.uk/articles/-A-112160