The statistical characteristics of internet topology models

With the exponential growth of the Internet size, the Internet topology structure become more and more sophisticated. Recently, the complex network theories provide many new approaches, especially the power-law, to the research of Internet topology models, such as Waxman, BA, GLP and PFP etc. These theory models with intrinsic subjective assumes need proper metrics to evaluate their resemblance to the realistic Internet topology. In this paper, many metrics, like degree distribution, clustering, and rich-club, based on statistics and structure are tested with aforementioned models using Matlab tools. By deliberately comparing the models with each other, some proper analytical results are achieved.