Topology of evolving networks: local events and universality

Details Topology of evolving networks: local events and universality Topology of evolving networks: local events and universality

2000-05-04

arxiv.org/abs/cond-mat/0005085v1

Phys. Rev. Lett. 85, 5234-5237 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.85.5234

Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can emerge, the connectivity distribution following either a generalized power-law or an exponential. We propose a continuum theory that predicts these two regimes as well as the scaling function and the exponents, in good agreement with the numerical results. Finally, we use the obtained predictions to fit the connectivity distribution of the network describing the professional links between movie actors.

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