An information-theoretic framework for resolving community structure in complex networks

To understand the structure of a large-scale biological, social, or technological network, it can be helpful to decompose the network into smaller subunits or modules. In this article, we develop an information-theoretic foundation for the concept of modularity in networks. We identify the modules of which the network is composed by finding an optimal compression of its topology, capitalizing on regularities in its structure. We explain the advantages of this approach and illustrate them by partitioning a number of real-world and model networks.

[1]  S. Fortunato,et al.  Resolution limit in community detection , 2006, Proceedings of the National Academy of Sciences.

[2]  S. Bornholdt,et al.  When are networks truly modular , 2006, cond-mat/0606220.

[3]  M. Newman,et al.  Finding community structure in networks using the eigenvectors of matrices. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  J. Reichardt,et al.  Statistical mechanics of community detection. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M E J Newman,et al.  Modularity and community structure in networks. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[7]  U. Alon,et al.  Spontaneous evolution of modularity and network motifs. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[8]  T. Vicsek,et al.  Uncovering the overlapping community structure of complex networks in nature and society , 2005, Nature.

[9]  Leon Danon,et al.  Comparing community structure identification , 2005, cond-mat/0505245.

[10]  Mark A. Pitt,et al.  Advances in Minimum Description Length: Theory and Applications , 2005 .

[11]  R. Guimerà,et al.  Functional cartography of complex metabolic networks , 2005, Nature.

[12]  Roger Guimerà,et al.  Cartography of complex networks: modules and universal roles , 2005, Journal of statistical mechanics.

[13]  E. Ziv,et al.  Information-theoretic approach to network modularity. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  M. Newman,et al.  Finding community structure in very large networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Hod Lipson,et al.  Networks, dynamics, and modularity. , 2004, Physical review letters.

[16]  R. Guimerà,et al.  Modularity from fluctuations in random graphs and complex networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Mark Newman,et al.  Detecting community structure in networks , 2004 .

[18]  M. Newman Fast algorithm for detecting community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Claudio Castellano,et al.  Defining and identifying communities in networks. , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[20]  M. Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  D. Lusseau,et al.  The bottlenose dolphin community of Doubtful Sound features a large proportion of long-lasting associations , 2003, Behavioral Ecology and Sociobiology.

[22]  K. Sneppen,et al.  Modularity and extreme edges of the internet. , 2002, Physical review letters.

[23]  Petter Holme,et al.  Subnetwork hierarchies of biochemical pathways , 2002, Bioinform..

[24]  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.

[25]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[26]  J. Hopfield,et al.  From molecular to modular cell biology , 1999, Nature.

[27]  Jorma Rissanen,et al.  The Minimum Description Length Principle in Coding and Modeling , 1998, IEEE Trans. Inf. Theory.

[28]  Stanley Wasserman,et al.  Social Network Analysis: Methods and Applications , 1994, Structural analysis in the social sciences.

[29]  Linton C. Freeman,et al.  The Sociological Concept of "Group": An Empirical Test of Two Models , 1992, American Journal of Sociology.

[30]  John Scott What is social network analysis , 2010 .

[31]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..