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7.1 Data sets used In this chapter, we use the Facebook data set from Rice University, described in Section 4.5. We partition our data set into a two subsets representing different parts of the Rice University network, which have different properties. The first group we use is the current undergraduates. This subset contains 1,233 users connected with 86,416 links, for an average degree of 70.1. The second group we use is the current graduate students. This subset contains 548 users connected with 6,512 links, for an average degree of 11.8. We examine these two parts of the network separately, since we have different attributes sets for the undergraduates and graduate students and they represent largely distinct parts of the network. In fact, only 1,455 links are present between undergraduates and graduate students. 7.2 Attributes in the network We first make two observations about how the structure of the social network is correlated with the attributes of users. First, we note that users are significantly more likely to be friends with other users who share their attributes. In some cases, the likelihood is as high as 10-fold more than that would be expected if links were placed randomly. Second, we observe that this affinity for links between similar users leads to communities of users in the network that are centered around attributes. Each of these observations is described in detail below. 125PDF Image | Online Social Networks: Measurement, Analysis, and Applications to Distributed Information Systems
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