Abstract
Social networks are complex systems which evolve through interactions among a growing set of actors or users. A popular methodology of studying such systems is to use tools of complex network theory to analyze the evolution of the networks, and the topological properties that emerge through the process of evolution. With the exponential rise in popularity of Online Social Networks (OSNs) in recent years, there have been a number of studies which measure the topological properties of such networks. Several network evolution models have also been proposed to explain the emergence of these properties, such as those based on preferential attachment, heterogeneity of nodes, and triadic closure. We survey some of these studies in this chapter. We also describe in detail a preferential attachment based model to analyze the evolution of OSNs in the presence of restrictions on node-degree that are presently being imposed in all popular OSNs.
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References
Abbasi, A., Hossain, L., Leydesdorff, L.: Betweenness centrality as a driver of preferential attachment in the evolution of research collaboration networks. Journal of Informetrics 6(3), 403–412 (2012)
Ahn, Y.-Y., Han, S., Kwak, H., Moon, S., Jeong, H.: Analysis of topological characteristics of huge online social networking services. In: Proceedings of ACM International Conference on World Wide Web (WWW), pp. 835–844 (2007)
Albert, R., Barabási, A.-L.: Statistical mechanics of complex networks. Reviews of Modern Physics 74(1), 47–97 (2002)
Allamanis, M., Scellato, S., Mascolo, C.: Evolution of a location-based online social network: analysis and models. In: Proceedings of ACM Internet Measurement Conference (IMC) (2012)
Backstrom, L., Boldi, P., Rosa, M., Ugander, J., Vigna, S.: Four degrees of separation. arXiv:1111.4570 [cs.SI] (2012)
Bagrow, J.P., Brockmann, D.: Natural emergence of clusters and bursts in network evolution. Phys. Rev. XÂ 3, 021016 (2013)
Baluja, S., Seth, R., Sivakumar, D., Jing, Y., Yagnik, J., Kumar, S., Ravichandran, D., Aly, M.: Video suggestion and discovery for Youtube: taking random walks through the view graph. In: Proceedings of ACM International Conference on World Wide Web (WWW), pp. 895–904 (2008)
Barabási, A.-L., Albert, R.: Emergence of scaling in random networks. Science 286(5439), 509–512 (1999)
Ben-Naim, E., Krapivsky, P.L.: Popularity-driven networking. Europhysics Letters 97(4), 48003 (2012)
Bianconi, G., Barabási, A.-L.: Competition and multiscaling in evolving networks. Europhysics Letters 54(4), 436 (2001)
Bonato, A., Hadi, N., Horn, P., Pralat, P., Want, C.: Models of on-line social networks. Internet Mathematics 6, 285–313 (2011)
Bonato, A., Janssen, J., Pralat, P.: A geometric model for on-line social networks. In: Proceedings of Workshop on Online Social Networks (WOSN) (June 2010)
Caldarelli, G., Capocci, A., De Los Rios, P., Muñoz, M.A.: Scale-free networks from varying vertex intrinsic fitness. Physical Review Letters 89, 258702 (2002)
Catanzaro, M., Caldarelli, G., Pietronero, L.: Assortative model for social networks. Physical Review EÂ 70, 037101 (2004)
Catone, J.: Twitter’s Follow Limit Makes Twitter Less Useful (August 2008), http://www.sitepoint.com/twitter-follow-limit-makes-twitter-less-useful/
Cattuto, C., Schmitz, C., Baldassarri, A., Servedio, V.D.P., Loreto, V., Hotho, A., Grahl, M., Gerd, S.: Network properties of folksonomies. AI Communications 20, 245–262 (2007)
Cha, M., Haddadi, H., Benevenuto, F., Gummadi, K.P.: Measuring user influence in Twitter: the million follower fallacy. In: Proceedings of AAAI International Conference on Weblogs and Social Media (ICWSM) (May 2010)
Clauset, A., Shalizi, C.R., Newman, M.E.J.: Power-law distributions in empirical data. SIAM Review 51(4), 661–703 (2009)
de Solla, P.: Networks of scientific papers. Science 149(3683), 510–515 (1965)
Erdös, P., Rényi, A.: On random graphs, I. Publicationes Mathematicae (Debrecen) 6, 290–297 (1959)
Erdos, P., Renyi, A.: On the strength of connectedness of a random graph. Acta Mathematica Hungarica 12, 261–267 (1961)
Estrada, E.: Spectral scaling and good expansion properties in complex networks. Europhysics Letters 73(4), 649 (2006)
Ferrara, E.: A large-scale community structure analysis in Facebook. arXiv:1106.2503 [cs.SI] (2012)
Ferrara, E., Fiumara, G.: Topological features of online social networks. Communications on Applied and Industrial Mathematics 2(2), 1–20 (2011)
Twitter help center: Following rules and best practices, http://support.twitter.com/forums/10711/entries/68916
Twitter blog: Making progress on spam (August 2008), http://blog.twitter.com/2008/08/making-progress-on-spam.html
Fortunato, S.: Community detection in graphs. Physics Reports 486(3-5), 75–174 (2010)
Gaito, S., Zignani, M., Rossi, G.P., Sala, A., Wang, X., Zheng, H., Zhao, B.Y.: On the bursty evolution of online social networks. arXiv:1203.6744 [cs.SI] (2012)
Ghosh, S., Srivastava, A., Ganguly, N.: Effects of a soft cut-off on node-degree in the Twitter social network. Computer Communications 35(7), 784–795 (2012)
Girvan, M., Newman, M.E.J.: Community structure in social and biological networks. Proceedings of the National Academy of Sciences of U.S.A (PNAS)Â 99, 7821 (2002)
Hu, H., Wang, X.-F.: Disassortative mixing in online social networks. Europhysics Letters 86(1), 18003 (2009)
Huberman, B.A., Romero, D.M., Wu, F.: Social networks that matter: Twitter under the microscope. First Monday 14(1) (January 2009)
Java, A., Song, X., Finin, T., Tseng, B.: Why we Twitter: understanding microblogging usage and communities. In: Proceedings of Workshop on Web Mining and Social Network Analysis (WebKDD / SNA-KDD), pp. 56–65 (2007)
Jin, E.M., Girvan, M., Newman, M.E.J.: Structure of growing social networks. Physical Review EÂ 64, 046132 (2001)
Krapivsky, P.L., Rodgers, G.J., Redner, S.: Degree distributions of growing networks. Physical Review Letters 86(23), 5401–5404 (2001)
Kumar, R., Novak, J., Tomkins, A.: Structure and evolution of online social networks. In: Proceedings of ACM International Conference on Knowledge Discovery and Data mining (SIGKDD), pp. 611–617 (2006)
Kwak, H., Lee, C., Park, H., Moon, S.: What is Twitter, a social network or a news media? In. In: Proceedings of ACM International Conference on World Wide Web (WWW), pp. 591–600 (2010)
Leskovec, J., Backstrom, L., Kumar, R., Tomkins, A.: Microscopic evolution of social networks. In: Proceedings of ACM International Conference on Knowledge Discovery and Data Mining (SIGKDD), pp. 462–470 (2008)
Leskovec, J., Kleinberg, J., Faloutsos, C.: Graphs over time: densification laws, shrinking diameters and possible explanations. In: Proceedings of ACM International Conference on Knowledge Discovery and Data Mining (SIGKDD), pp. 177–187. ACM (2005)
Medo, M., Cimini, G., Gualdi, S.: Temporal effects in the growth of networks. Physical Review Letters 107(23), 238701 (2011)
Mislove, A., Koppula, H.S., Gummadi, K.P., Druschel, P., Bhattacharjee, B.: Growth of the Flickr social network. In: Proceedings of Workshop on Online Social Networks (WOSN), pp. 25–30 (2008)
Mislove, A., Marcon, M., Gummadi, K.P., Druschel, P., Bhattacharjee, B.: Measurement and analysis of online social networks. In: Proceedings of ACM SIGCOMM Conference on Internet Measurement (IMC), pp. 29–42 (2007)
Mislove, A.E.: Online social networks: measurement, analysis, and applications to distributed information systems. PhD thesis, Rice University (April 2009)
Mukherjee, A., Choudhury, M., Ganguly, N.: Understanding how both the partitions of a bipartite network affect its one-mode projection. Physica A: Statistical Mechanics and its Applications 390(20), 3602–3607 (2011)
Nacher, J.C., Akutsu, T.: On the degree distribution of projected networks mapped from bipartite networks. Physica A: Statistical Mechanics and its Applications 390(23-24), 4636–4651 (2011)
Newman, M.E.J.: Clustering and preferential attachment in growing networks. Physical Review EÂ 64, 025102 (2001)
Newman, M.E.J.: Assortative mixing in networks. Physical Review Letters 89(20), 208701 (2002)
Newman, M.E.J.: The structure and function of complex networks. SIAM Review 45(2), 167–256 (2003)
Newman, M.E.J.: Random graphs with clustering. Physical Review Letters 103, 058701 (2009)
Newman, M.E.J., Park, J.: Why social networks are different from other types of networks. Physical Review EÂ 68(3), 036122 (2003)
Newman, M.E.J., Watts, D.J., Strogatz, S.H.: Random graph models of social networks. Proceedings of the National Academy of Sciences of U.S.A (PNAS) 99, 2566–2572 (2002)
Podobnik, B., Horvatic, D., Dickison, M., Stanley, H.E.: Preferential attachment in the interaction between dynamically generated interdependent networks. arXiv:1209.2817 [physics.soc-ph] (2012)
Ramasco, J.J., Dorogovtsev, S.N., Pastor-Satorras, R.: Self-organization of collaboration networks. Physical Review EÂ 70(3), 036106 (2004)
Romero, D.M., Kleinberg, J.M.: The directed closure process in hybrid social-information networks, with an analysis of link formation on Twitter. In: Proceedings of AAAI International Conference on Weblogs and Social Media (ICWSM) (May 2010)
Saramaki, J., Kaski, K.: Scale-free networks generated by random walkers. Physica A: Statistical Mechanics and its Applications 341, 80–86 (2004)
Simon, H.A.: On a class of skew distribution functions. Biometrika 42, 425–440 (1955)
Singer, P., Wagner, C., Strohmaier, M.: Understanding co-evolution of social and content networks on Twitter. In: Proceedings of Workshop on Making Sense of Microposts (with ACM WWW) (2012)
Travers, J., Milgram, S.: An experimental study of the small world problem. Sociometry 32, 425–443 (1969)
Ugander, J., Karrer, B., Backstrom, L., Marlow, C.: The anatomy of the Facebook social graph. arXiv:1111.4503 [cs.SI] (2011)
Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘small-world’ networks. Nature 393(6684), 440–442 (1998)
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Ghosh, S., Ganguly, N. (2014). Structure and Evolution of Online Social Networks. In: Panda, M., Dehuri, S., Wang, GN. (eds) Social Networking. Intelligent Systems Reference Library, vol 65. Springer, Cham. https://doi.org/10.1007/978-3-319-05164-2_2
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DOI: https://doi.org/10.1007/978-3-319-05164-2_2
Publisher Name: Springer, Cham
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