Preferential attachment of communities: the same principle, but a higher level

Details Preferential attachment of communities: the same principle, but a higher level Preferential attachment of communities: the same principle, but a higher level

2006-01-25

arxiv.org/abs/cond-mat/0601579v1

Europhys. Lett., 73 (3), pp. 478-484 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

10.1209/epl/i2005-10414-6

The graph of communities is a network emerging above the level of individual nodes in the hierarchical organisation of a complex system. In this graph the nodes correspond to communities (highly interconnected subgraphs, also called modules or clusters), and the links refer to members shared by two communities. Our analysis indicates that the development of this modular structure is driven by preferential attachment, in complete analogy with the growth of the underlying network of nodes. We study how the links between communities are born in a growing co-authorship network, and introduce a simple model for the dynamics of overlapping communities.

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