Search for the Core Network in Weighted Networks

In order to explore key nodes natures and find out the core of weighted networks, the study advanced Core Network (CN) conception, and developed Largest Eigenvalue Algorithm of Weight Matrix (LEAWM) for detecting CN, done empirical research for US Air Lines Network and Stocks Network of Real Estate Sector in China Stock Market. The empirical results indicate that LEAWM is feasible. CN consist of the key nodes with synthesis of some important properties such as bigger degree and betweenness, CN is the core of the entire network.