A COMPARATIVE RESEARCH ON FACEBOOK NETWORKS IN DIFFERENT INSTITUTIONS

Hai-Bo Hu () and Jin-Li Guo
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Hai-Bo Hu: Department of Management, East China University of Science and Technology, Shanghai, 200237, China
Jin-Li Guo: School of Management, University of Shanghai for Science and Technology, Shanghai, 200093, China

Advances in Complex Systems (ACS), 2012, vol. 15, issue 05, 1-16

Abstract: We studyFacebooknetworks at 40 American universities, with focus on the comparison of their degree distributions and mechanism governing their evolution. We find that the heterogeneity indexes of these networks are all small compared with scale-free networks, and different from real-world social networks 5Facebooknetworks show significant degree disassortativity; the exponent γ for the power-law model of the degree distributions is large for the networks, indicating obvious homogeneity of network structure. We calculate the goodness-of-fit between the data and power law and find that thep-values are larger than threshold 0.1 for 20 networks, implying that power law is a plausible hypothesis; we compare the power-law model with 4 alternative competing distributions and find that power-law model gives the best fit for all 40 networks. However in wider interval of degrees some other distributions, such as log-normal or stretched exponential, can give the best fit. Further based on the homogeneity ofFacebookwe propose an analyzable model that integrates the introduction of new vertices and edges. The edges can be established either between new vertices and old vertices or between old vertices. The model captures the real evolution processes ofFacebooknetworks and can well reproduce their degree distributions.

Keywords: Online social network; Facebook; model; power law; 89.65.–s; 89.75.Hc; 02.50.–r (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219525912500300

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