Evolutionary graph theory examines how individuals in a network influence one another and can help predict the direction the network is headed. A pair of Harvard academics argue that social-media sites have dramatically increased the rate at which personal networks evolve and influence their members. One concept researchers are studying is "network reciprocity," which holds that users with fewer friends tend to place a higher value on their connections.
http://www.guardian.co.uk/technology/2009/oct/07/facebook-social-networks-evolutionary-graph-theory
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