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Does anybody know of a work or dataset that has studied the patterns of
usage of social networks?

In particular, I am looking for a dataset or a paper that studies the time
and patterns of users being on / off on the network(say facebook, twitter
or some social network)  and its effect on the diffusion of information on
the social network.

Also, on a lower level, if you can point me to a work analyzing the delays
in sending information through a social network (either targeted message
sending or data dissemination, like wall posts). I am interested to see if
any work has studied the delays associated with these activities, which in
turn is dependent on usage patterns of them by users.


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