Network Science

Emergence of scaling in random networks

Systems as diverse as genetic networks or the World Wide Web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This feature was found to be a consequence of two generic mechanisms: (i) networks expand continuously by the addition of new vertices, and (ii) new vertices attach preferentially to sites that are already well connected. A model based on these two ingredients reproduces the observed stationary scale-free distributions, which indicates that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.


More publications
A.-L. Barabási, R. Albert, H. Jeong

Physica A 281, 69-77 (2000)

R. Albert, H. Jeong, A.-L. Barabási

Nature 406, 378–482 (2000)

H. A. Makse, A.-L. Barabási, H.E. Stanley

Physical Review E 53, 6573–6576 (1996)