There are already scientific works that investigate the small world feature of Facebook and the community structure of the network... take a look to:
S. Catanese, P. De Meo, E. Ferrara, G. Fiumara, A. Provetti. Crawling Facebook for Social Network Analysis Purposes (2011) http://arxiv.org/abs/1105.6307
or
E. Ferrara. A Large-Scale Community Structure Analysis In Facebook (2011) http://arxiv.org/abs/1106.2503
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