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88 networks. Incidentally, Broder et al. [23] noted that if the Web were treated as an undirected graph, the average path length would drop from 16.12 to 7. Network Web [23] Flickr LiveJournal Orkut YouTube Average Path Length 16.12 5.67 5.88 4.25 5.10 Radius Diameter 475 905 13 27 12 20 6 9 13 21 Table 5.3 : Average path length, radius, and diameter of the studied networks. The path length between random nodes is very short in social networks. 5.6 Link degree correlations To further explore the difference in network structure between online social networks and previously observed networks, we examine which users tend to connect to each other. In particular, we focus on the joint degree distribution (JDD), or how often nodes of different degrees connect to each other. 5.6.1 Joint degree distribution The JDD is approximated by the degree correlation function knn, which is a mapping between outdegree and the average indegree of all nodes connected to nodes of that outdegree. Clearly, an increasing knn indicates a tendency of higher-degree nodes toPDF Image | Online Social Networks: Measurement, Analysis, and Applications to Distributed Information Systems
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