An Empirical Validation of Growth Models for Complex Networks

This chapter is focused towards the empirical validation of generation of powerlaw networks. Empirical growth data from four different networks (the Flickr and the YouTube online social networks, Wikipedia’s content graph, and the Internet’s AS-level graph) are used to show this growth. This study makes two contributions: First, the gathering of detailed measurements of the growth of four large-scale networks and make the data available to the research community. Second, the thorough investigation of the link creation processes in datasets. The inadequacy of preferential attachment (i.e., “the rich get richer”), a popular growth model, to explain growth has been revealed in this chapter.

[1]  V. Eguíluz,et al.  Highly clustered scale-free networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Michael Mitzenmacher,et al.  Editorial: The Future of Power Law Research , 2005, Internet Math..

[3]  Jon Kleinberg,et al.  Authoritative sources in a hyperlinked environment , 1999, SODA '98.

[4]  Diego Garlaschelli,et al.  Patterns of link reciprocity in directed networks. , 2004, Physical review letters.

[5]  M. Newman Clustering and preferential attachment in growing networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Rajeev Motwani,et al.  The PageRank Citation Ranking : Bringing Order to the Web , 1999, WWW 1999.

[7]  Beom Jun Kim,et al.  Growing scale-free networks with tunable clustering. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Gueorgi Kossinets,et al.  Empirical Analysis of an Evolving Social Network , 2006, Science.

[9]  K. Kaski,et al.  Scale-free networks generated by random walkers , 2004, cond-mat/0404088.

[10]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[11]  Jon M. Kleinberg,et al.  Group formation in large social networks: membership, growth, and evolution , 2006, KDD '06.

[12]  Krishna P. Gummadi,et al.  Measurement and analysis of online social networks , 2007, IMC '07.

[13]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[14]  A. Vázquez Growing network with local rules: preferential attachment, clustering hierarchy, and degree correlations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Christos Faloutsos,et al.  Graph evolution: Densification and shrinking diameters , 2006, TKDD.

[16]  Lada A. Adamic,et al.  A social network caught in the Web , 2003, First Monday.

[17]  James S. Thorp,et al.  Computer Relaying for Power Systems , 2009 .

[18]  Ravi Kumar,et al.  On the Bursty Evolution of Blogspace , 2003, WWW '03.

[19]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[20]  Albert-László Barabási,et al.  Internet: Diameter of the World-Wide Web , 1999, Nature.

[21]  Mikko Alava,et al.  Correlations in bipartite collaboration networks , 2005, physics/0508027.

[22]  V. Zlatic,et al.  Wikipedias: collaborative web-based encyclopedias as complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Jon M. Kleinberg,et al.  The link-prediction problem for social networks , 2007, J. Assoc. Inf. Sci. Technol..

[24]  Ravi Kumar,et al.  Trawling the Web for Emerging Cyber-Communities , 1999, Comput. Networks.

[25]  Kevin S. McCurley,et al.  Links in Hierarchical Information Networks , 2004, WAW.

[26]  G. Caldarelli,et al.  Preferential attachment in the growth of social networks, the Internet encyclopedia wikipedia , 2007 .

[27]  Michael Mitzenmacher,et al.  A Brief History of Generative Models for Power Law and Lognormal Distributions , 2004, Internet Math..

[28]  M Girvan,et al.  Structure of growing social networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Walter Willinger,et al.  To Peer or Not to Peer: Modeling the Evolution of the Internet's AS-Level Topology , 2006, Proceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications.

[30]  Ravi Kumar,et al.  Structure and evolution of online social networks , 2006, KDD '06.