Being a huge system, Internet topology structure is very complex. It can’t be treated as a plane simply, and its hierarchy must be analyzed. We used the k-core decomposition to disentangle the hierarchical structure of Internet Router-level topology. By analyzing the router-lever Internet topology measuring data from CAIDA (The Cooperative Association for Internet Data Analysis) ,we studied the characteristics of the nodes in the inner hierarchy and outer hierarchy respectively. The frequency-degree power law of the nodes which core-ness is lower and the regionally distribution of the nodes which coreness is higher were concluded. At last, the topology of every hierarchy was described by giving their figures. These descriptions can provide a valuable reference for modeling on the Internet topology.
S. T. Park, D. M. Pennock, and C. L. Giles, “Comparing static and dynamic measurements and models of the Internet’s topology,” Proceedings of the 23rd Annual Joint Conference of the IEEE Computer and Communi-cations Societies, pp. 1616-1627, March 2004.
D. Vukadinovic, P. Huang, and T. Erlebach, “On the spectrum and structure of Internet topology graphs,” Proceedings of the Innovative Internet Computing Systems (I2CS), LNCS 2346, Berlin, Springer-Verlag, pp. 83-95, 2002.