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arXiv · 0709.3094

Transition from small to large world in growing networks

S. N. Dorogovtsev·P. L. Krapivsky·J. F. F. Mendes
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Abstract

We examine the global organization of growing networks in which a new vertex is attached to already existing ones with a probability depending on their age. We find that the network is infinite- or finite-dimensional depending on whether the attachment probability decays slower or faster than $(age)^{-1}$. The network becomes one-dimensional when the attachment probability decays faster than $(age)^{-2}$. We describe structural characteristics of these phases and transitions between them.

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BibTeXRIS

S. N. Dorogovtsev, P. L. Krapivsky, J. F. F. Mendes. 2007-11-23. Transition from small to large world in growing networks. https://doi.org/10.1209/0295-5075/81/30004

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