Clustering coefficient of random intersection graphs with infinite degree variance

For a random intersection graph with a power law degree sequence having a finite mean and an infinite variance we show that the global clustering coefficient admits a tunable asymptotic distribution.

[1]  Siddhartha R. Jonnalagadda,et al.  Scientific collaboration networks using biomedical text. , 2014, Methods in molecular biology.

[2]  Valentas Kurauskas,et al.  Clustering function: another view on clustering coefficient , 2016, J. Complex Networks.

[3]  Edward R. Scheinerman,et al.  On Random Intersection Graphs: The Subgraph Problem , 1999, Combinatorics, Probability and Computing.

[4]  Liudmila Ostroumova,et al.  Global Clustering Coefficient in Scale-Free Networks , 2014, WAW.

[5]  Mindaugas Bloznelis,et al.  Degree and clustering coefficient in sparse random intersection graphs , 2013, 1303.3388.

[6]  Erhard Godehardt,et al.  Two Models of Random Intersection Graphs for Classification , 2003 .

[7]  Erhard Godehardt,et al.  Clustering Coefficients of Random Intersection Graphs , 2010, GfKl.

[8]  Mindaugas Bloznelis,et al.  Degree Distribution of an Inhomogeneous Random Intersection Graph , 2012, Electron. J. Comb..

[9]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  M. Newman,et al.  The structure of scientific collaboration networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[11]  Erhard Godehardt,et al.  Recent Progress in Complex Network Analysis: Models of Random Intersection Graphs , 2013, ECDA.

[12]  Erhard Godehardt,et al.  Recent Progress in Complex Network Analysis: Properties of Random Intersection Graphs , 2013, ECDA.

[13]  S. Redner.  How popular is your paper? An empirical study of the citation distribution , 1998, cond-mat/9804163.

[14]  Willemien Kets,et al.  RANDOM INTERSECTION GRAPHS WITH TUNABLE DEGREE DISTRIBUTION AND CLUSTERING , 2009, Probability in the Engineering and Informational Sciences.

[15]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[16]  Valentas Kurauskas,et al.  On local weak limit and subgraph counts for sparse random graphs , 2015, Journal of Applied Probability.

[17]  Peter Mörters,et al.  A Spatial Preferential Attachment Model with Local Clustering , 2013, WAW.

[18]  M E Newman,et al.  Scientific collaboration networks. I. Network construction and fundamental results. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  S. Foss,et al.  An Introduction to Heavy-Tailed and Subexponential Distributions , 2011 .