| Issue |
Europhys. Lett.
Volume 76, Number 4, November 2006
|
|
|---|---|---|
| Page(s) | 731 - 737 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2006-10315-2 | |
| Published online | 18 October 2006 | |
Degree distributions of evolving networks*
1
Department of Mathematics, Shanghai University - Shanghai 200444, PRC
2
Department of Logistics, Hong Kong Polytechnic University - Hung Hom, Hong Kong
3
Department of Information and Systems Management, Hong Kong University of Science and Technology - Clear Water Bay, Hong Kong
4
College of Science and Technology, Ningbo University - Ningbo 315211, PRC
Corresponding author: lgtliulm@polyu.edu.hk
Received:
20
June
2006
Accepted:
22
September
2006
In this paper, we propose a simple evolving network model with link
and node removals as well as additions and show that this evolving
network is scale free with a degree exponent varying in
![$(1,4]$](/articles/epl/abs/2006/22/epl9645/epl9645_tex_eq1.png)
depending on the network parameter values.
By establishing a relation between the network evolution and a set
of non-homogeneous birth-and-death processes, we develop an
efficient algorithm to compute the network degree distribution. Our
numerical results match simulation well and show how the network
evolves into the scale-free state.
PACS: 89.75.Hc – Networks and genealogical trees / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 87.23.Ge – Dynamics of social system
© EDP Sciences, 2006
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