Figure 1(b) shows that the average social degree of a user in
the network makes a rather large jump as the network increases
in size from 500 users to 1000 users, and then experiences
gradual changes. This makes sense when thinking about a
social network in its early stages. It suggests that the early
users of the network are forming friendship links with other
users at an accelerated rate, while as more users enter the
network, the early users are less inclined to form friendships
with new users. It is too early to tell whether the average
degree will converge or keep decreasing as the network keeps
growing. If the average does converge, it will be consitent with
that observed in some other social networks, such as Facebook
[6].