Communities Detection in Large Networks

We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large networks even when these are not sharply partitioned, it turns to be specially suitable to the analysis of social and information networks. We test the algorithm on a large-scale data-set from a psychological experiment of word association. In this case, it proves to be successful both in clustering words, and in uncovering mental association patterns.

[1]  M. A. Muñoz,et al.  Scale-free networks from varying vertex intrinsic fitness. , 2002, Physical review letters.

[2]  M E J Newman,et al.  Community structure in social and biological networks , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Kenneth M. Hall.  An r-Dimensional Quadratic Placement Algorithm , 1970 .

[4]  G. Caldarelli,et al.  Quantitative description and modeling of real networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Jean-Pierre Eckmann,et al.  Curvature of co-links uncovers hidden thematic layers in the World Wide Web , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[7]  A Díaz-Guilera,et al.  Self-similar community structure in a network of human interactions. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[9]  E. Wenger,et al.  Communities and technologies , 2003 .

[10]  S. N. Dorogovtsev,et al.  Evolution of networks , 2001, cond-mat/0106144.

[11]  M. D. Wilkinson,et al.  Management science , 1989, British Dental Journal.

[12]  Dan Suciu,et al.  Journal of the ACM , 2006 .

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

[14]  G. Bianconi,et al.  Number of loops of size h in growing scale-free networks. , 2002, Physical review letters.