The fractal/small-world dichotomy in real-world networks

Details The fractal/small-world dichotomy in real-world networks The fractal/small-world dichotomy in real-world networks

2004-06-03

arxiv.org/abs/cond-mat/0406070v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures

Scientific paper

10.1103/PhysRevE.70.016122

We draw attention to a clear dichotomy between small-world networks exhibiting exponential neighborhood growth, and fractal-like networks where neighborhoods grow according to a power law. This distinction is observed in a number of real-world networks, and is related to the degree correlations and geographical constraints. We conclude by pointing out that the status of human social networks in this dichotomy is far from clear.

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