is there a connection between the findings regarding social networks and the communities built through social media?

Iñiguez, G. )., Dunbar, R. )., Kaski, K. )., Barrio, R. )., & Govezensky, T. ). (2014). Effects of deception in social networks. Proceedings Of The Royal Society B: Biological Sciences, 281(1790), doi:10.1098/rspb.2014.1195

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http://arxiv.org/ftp/arxiv/papers/1406/1406.0673.pdf

prosocial lies (“white” lies) and antisocial lying (i.e. deception for personal gain), with the former being considered much less destructive than the latter.
Antisocial dishonesty thus places strong constraints on the size and cohesion of social communities, providing a major hurdle that organisms have to overcome (e.g. by evolving counter-deception strategies) in order to evolve large, socially cohesive communities. In contrast, “white” lies can prove to be beneficial in smoothing the flow of interactions and facilitating a larger, more integrated network.