SELF-SIMILARITY PROPERTIES OF THE INDUSTRIAL COMPETITION NETWORKS

Abstract

It has been shown that many complex networks share self-similar properties. To reveal the ubiquitous characteristics that many real networks may have in common, we first improve the box covering algorithm and use it to measure several real industrial competition networks. As a result, we find that some real industrial competition networks illustrate the fractal properties. As the improved box covering algorithm could not reflect the structure characteristic of the industrial competitive network efficiently, and the scale of the network namely the average length path is not enough for quantifying the fractal properties, we use the clustering coefficient as the scale measure index and present a systematic analysis of some real industrial competition networks from the perspective of multifractal features. We find that many real industrial competition networks can also be characterized by the multifractal features. Finally, with a motif-hierarchical model, we simulate how the fractal structure of the industrial networks may be formed, and to some extent verify that the disassortative process is an important self-organizing mechanism in industry system.