Deterministic Scale-Free Networks

Details Deterministic Scale-Free Networks Deterministic Scale-Free Networks

2001-07-19

arxiv.org/abs/cond-mat/0107419v3

Physica A 299, (3-4) (2001), pp. 559-564

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/S0378-4371(01)00369-7

Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are stochastic, that is they create networks in which the nodes appear to be randomly connected to each other. Here we propose a simple model that generates scale-free networks in a deterministic fashion. We solve exactly the model, showing that the tail of the degree distribution follows a power law.

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