Many systems take the form of networks: the Internet, the World Wide
Web,
social networks, distribution networks, citation networks, food webs, and
neural networks are just a few examples. I will show some recent
empirical results on the structure of these and other networks,
particularly emphasizing degree sequences, clustering, and vertex-vertex
correlations. I will also discuss some graph theoretical models of
networks that incorporate these features, and give examples of how both
empirical measurements and models can lead to interesting and useful
predictions about the real world.
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