Correlation analys is between topological properties and market volatility of stock network based on complex network

The paper using stocks and the correlation between stocks as network nodes and edge respectively, and applies minimum spanning tree (MST) to construct the network of Shanghai stock market, and calculates the basic topological index of network, then analyses the correlation between these indexes and stock market volatility. The results show that there is a negative correlation between average path length of network and market volatility when market volatility is higher, network contraction is closer; and there is a negative correlation between mean occupation layer and market volatility when the market volatility increases, nodes in the network close to the center node; and there is a positive correlation between the maximum number of links and market volatility when market volatility is higher, connection between the network nodes is strengthener. The paper forecasts the change of volatility in the stock market by analyzing the changing law of topological index of network.