Financial Networks in the Korean Stock Exchange Market

We investigate the financial network in the Korean stock exchange (KSE) market, using both numerical simulations and scaling arguments. We estimate the cross-correlation on the stock price exchanges of all companies listed on the the Korean stock exchange market, where all companies are fully connected via weighted links, by introducing a weighted random graph. The degree distribution and the edge density are discussed numerically from the market graph, and the statistical analysis for the degree distribution of vertices is particularly found to approximately follow the power law.