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With the rapid development of the large-scale Internet, the relation between network topology and function has become one of the most important and difficult challenges the Internet offers. The pioneering work, revealing the power-law distribution of the AS-level and router-level Internet topology, has impelled a great number of studies on the Internet topology characteristics, the topology models, the topology generators and the roles of the Internet. Most of the network topology metrics have a determinant role in modeling the procedure of the Internet topology.
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