Scale-free networks without growth
Abstract
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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- March 2008
- DOI:
- 10.1016/j.physa.2007.11.005
- arXiv:
- arXiv:cond-mat/0512485
- Bibcode:
- 2008PhyA..387.1683X
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 4 pages and 3 figures