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Phys. Rev. E 80, 016105 (2009) [8 pages]

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Line graphs, link partitions, and overlapping communities

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T. S. Evans1,2 and R. Lambiotte1
1Institute for Mathematical Sciences, Imperial College London, SW7 2PG London, United Kingdom
2Theoretical Physics, Imperial College London, SW7 2AZ London, United Kingdom

Received 12 March 2009; published 9 July 2009

In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes so that nodes may be in more than one community. We do this by making a node partition of the line graph of the original network. In this way we show that any algorithm that produces a partition of nodes can be used to produce a partition of links. We discuss the role of the degree heterogeneity and propose a weighted version of the line graph in order to account for this.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.016105
DOI:
10.1103/PhysRevE.80.016105
PACS:
89.75.−k, 02.50.Le, 05.50.+q, 75.10.Hk