Title
Characterizing The Community Structure Of Complex Networks
Abstract
Background: Community structure is one of the key properties of complex networks and plays a crucial role in their topology and function. While an impressive amount of work has been done on the issue of community detection, very little attention has been so far devoted to the investigation of communities in real networks.Methodology/Principal Findings: We present a systematic empirical analysis of the statistical properties of communities in large information, communication, technological, biological, and social networks. We find that the mesoscopic organization of networks of the same category is remarkably similar. This is reflected in several characteristics of community structure, which can be used as "fingerprints'' of specific network categories. While community size distributions are always broad, certain categories of networks consist mainly of tree-like communities, while others have denser modules. Average path lengths within communities initially grow logarithmically with community size, but the growth saturates or slows down for communities larger than a characteristic size. This behaviour is related to the presence of hubs within communities, whose roles differ across categories. Also the community embeddedness of nodes, measured in terms of the fraction of links within their communities, has a characteristic distribution for each category.Conclusions/Significance: Our findings, verified by the use of two fundamentally different community detection methods, allow for a classification of real networks and pave the way to a realistic modelling of networks' evolution.
Year
DOI
Venue
2010
10.1371/journal.pone.0011976
PLOS ONE
Keywords
Field
DocType
networks,community structure,average path length,biology,physics,social network,chemistry,information services,complex network,informatics,engineering,medicine
Data science,Complex system,Information system,Community structure,Social network,Biology,Computer communication networks,Social communication,Complex network,Bioinformatics,The Internet
Journal
Volume
Issue
ISSN
5
8
1932-6203
Citations 
PageRank 
References 
74
9.63
8
Authors
4
Name
Order
Citations
PageRank
Andrea Lancichinetti151428.58
Mikko Kivelä2749.63
Jari Saramäki359437.21
Santo Fortunato44209212.38