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The research was based on the massive data authorized by CAIDA (The cooperative association for Internet data analysis) Skitter project. We used the k-core decomposition to disentangle the hierarchical structure of Internet router-level topology. Combining with the actual topology measuring data, we first exhibited the pruning procedure of Internet router-level topology. Then we analyzed the characteristics in every shell which was pruned. It is concluded that the number of the nodes, isolated nodes and clusters in every shell decrease with power law. At last, we exhibited the evolvement of the Internet topology by the evolving of the largest sub-net from the innermost core to the outermost core. During the evolvement, we can easily observe the clustering properties of Internet topology.