Scale-free networks without growth

In this paper, we proposed an ungrowing scale-free network model, indicating the growth may not be a necessary condition of the self-organization of a network in a scale-free structure. The analysis shows that the degree distributions of the present model can varying from the Poisson form to the pow...

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Bibliographic Details
Published in:Physica A 2008-03, Vol.387 (7), p.1683-1688
Main Authors: Xie, Yan-Bo, Zhou, Tao, Wang, Bing-Hong
Format: Article
Language:English
Subjects:
Complex networks
Modelling
Scale-free network
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Summary:In this paper, we proposed an ungrowing scale-free network model, indicating the growth may not be a necessary condition of the self-organization of a network in a scale-free structure. The analysis shows that the degree distributions of the present model can varying from the Poisson form to the power-law form with the decrease of a free parameter α . This model provides a possible mechanism for the evolution of some scale-free networks with fixed size, such as the friendship networks of school children and the functional networks of the human brain.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2007.11.005