Measuring preferential attachment for evolving networks

Details Measuring preferential attachment for evolving networks Measuring preferential attachment for evolving networks

2001-04-07

arxiv.org/abs/cond-mat/0104131v1

Europhys.Lett. 61 (2003) 567-572

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 Figures, RevTex

Scientific paper

10.1209/epl/i2003-00166-9

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called preferential attachment. Measurements on four networks, namely the science citation network, Internet, actor collaboration and science coauthorship network indicate that the rate at which nodes acquire links depends on the node's degree, offering direct quantitative support for the presence of preferential attachment. We find that for the first two systems the attachment rate depends linearly on the node degree, while for the latter two the dependence follows a sublinear power law.

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