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Structure of growing social networks

by: Emily M Jin, Michelle Girvan, MEJ Newman
Physical Review E, Vol. 64, No. 4. (2001), 046132.


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We propose some simple models of the growth of social networks; based on three general principles: (1) meetings take place between pairs of individuals at a rate that is high if a pair has one or more mutual friends and low otherwise; (2) acquaintances between pairs of individuals who rarely meet decay over time; (3) there is an upper limit on the number of friendships an individual can maintain. Using computer simulations; we find that models that incorporate all of these features reproduce many of the features of real social networks; including high levels of clustering or network transitivity and strong community structure in which individuals have more links to others within their community than to individuals from other communities.


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