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6.4.1 Undirected networks For the two undirected networks, YouTube-U and the AS-level Internet, we show how the degree of a node correlates with the number of new links per day. We find a strong positive correlation between the current degree and the number of newly created links in both of the networks. 6.4.2 Directed networks For the three directed networks, we separate the preferential attachment model into two aspects: preferential creation and preferential reception. Preferential creation describes the mechanism by which nodes create new links in proportion to their outdegree, and preferential reception describes the mechanism where nodes receive new links in proportion to their indegree. This distinction is consistent with previously proposed models of preferential attachment on directed graphs [25]. It is important to understand why we separate preferential attachment into pref- erential creation and preferential reception for directed networks. Preferential at- tachment was originally defined for undirected graphs [15], and therefore does not distinguish between node indegree and outdegree. However, in the directed networks we study, link creation is very different from link reception. Nodes are in complete control over their outgoing links, since they decide who they link to, but they are not in control of their indegree, since it depends upon who they receive links from. For the three directed networks, Flickr, Wikipedia, and YouTube-D, we separately 110PDF Image | Online Social Networks: Measurement, Analysis, and Applications to Distributed Information Systems
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