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Weak ties, introduced in the seminal paper by Granovetter [6], refer to people's relationships with acquaintances outside their social circle (i.e., acquaintances with which they interact infrequently). We show that weak ties play an important role on the dissemination of content updates over a mobile social network. From a practical perspective, weak ties can be used to design strategies for limiting the bandwidth usage on such a network, without severely impacting the speed with which the content is disseminated. Moreover, the importance of weak ties can be traced on the effect they have on the edge expansion of the social network. By identifying this relationship, we extend and validate earlier work [7], that characterizes the speed of content dissemination in terms of the network's edge expansion.