arXiv:0909.0450physics.soc-ph
Disassortative mixing in online social networks
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Abstract
The conventional wisdom is that social networks exhibit an assortative mixing pattern, whereas biological and technological networks show a disassortative mixing pattern. However, the recent research on the online social networks modifies the widespread belief, and many online social networks show a disassortative or neutral mixing feature. Especially, we found that an online social network, Wealink, underwent a transition from degree assortativity characteristic of real social networks to degree disassortativity characteristic of many online social networks, and the transition can be reasonably elucidated by a simple network model that we propose. The relations among network assortativity, clustering, and modularity are also discussed in the paper.
This is relatively well known in (Complex) Network theory as applied to Social Networks. You're always more likely to be connected to a Hub (someone with high degree) that to a "leaf" (in the tree sense). If you plot the average number of friends your friends have versus the…
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