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Of all of the social networks I have looked at, I can not remember a single one where everyone fell into one and only one group/cluster. You will find 'clean components' if you are looking at a *prescribed* network such as a department structure in an organization or a class structure in a school but NOT with most *emergent* networks.
Are you interested in how the network influences individual behavior? If so, I would look at the network neighborhood each individual is embedded in.
If you are just looking to discover emergent friendship clusters in the overall network, I would apply Mark Newman's recent edge betweenness algorithm
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