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1 0.8 0.6 0.4 0.2 0 178 Observed Ran dom Destination Selection 1234567 Distance between source and destination (hops) Figure 8.7 : Cumulative distribution (CDF) of distance between sender and receiver for our email trace. The observed data show a strong bias toward proximity when compared to randomly selected destinations. We found that the selection of senders had a very strong proximity bias: over 93% of all messages were sent to either a friend or a friend of a friend, compared to the expected 14% if the senders were chosen randomly. Thus, we expect that in practice, most communication in Ostra is directed to nearby users, significantly reducing the average path lengths in the trust network. 8.4.3 Setting parameters We also used the email trace to determine the appropriate settings for the Ostra parameters L and U. To do this, we examined the rate at which users sent and received messages. The trace contains 50,864 transmitted messages (an average of 3.39 messages sent per user per day) and 1,003,819 received messages (an average of 66.9 messages received per user per day). The system administrators estimated that the incoming messages in the email trace consisted of approximately 95% junk mail. CDFPDF Image | Online Social Networks: Measurement, Analysis, and Applications to Distributed Information Systems
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