Probability Distribution and Their Non-linear Relationship between Node Degree and Clustering Coefficient of Aviation Network of China Based on Complex Network

Abstract

In order to reveal the complex network feature of aviation network of China, probability distribution of node degree and clustering coefficient of aviation network of China was researched according to statistics data of civil aviation of China. It was verified that node degree had power function probability distribution. Clustering coefficient of nodes with exponential function probability distribution was discovered. It was found that node degree and clustering coefficient had single peak nonlinear relationship. At the left side of the peak, there is no certain relationship between them. At the right side of the peak, clustering coefficient became smaller with the rise of node degree and there was negative exponential function relationship between them by regression analysis.