Scale-free networks without growth

✍ Scribed by Yan-Bo Xie; Tao Zhou; Bing-Hong Wang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 341 KB
• Volume: 387
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2007.11.005

✦ Synopsis

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.