Evolution of the Internet and its cores

Zhang, Guo-Qing; Zhang, Guo-Qiang; Yang, Qing-Feng; Cheng, Su-Qi; Zhou, Tao

doi:10.1088/1367-2630/10/12/123027

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Journal article

Evolution of the Internet and its cores

Zhang, Guo-Qing Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China - Graduate University of Chinese Academy of Sciences, Beijing, China
Zhang, Guo-Qiang Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China - Graduate University of Chinese Academy of Sciences, Beijing, China
Yang, Qing-Feng Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China - Graduate University of Chinese Academy of Sciences, Beijing, China
Cheng, Su-Qi Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China - Graduate University of Chinese Academy of Sciences, Beijing, China
Zhou, Tao Department of Modern Physics, University of Science and Technology of China, Hefei, China - Department of Physics, University of Fribourg, Switzerland

18.12.2008

Published in:

New Journal of Physics. - 2008, vol. 10, p. 123027

English In this paper, we empirically study the evolution of large scale Internet topology at the autonomous system (AS) level. The network size grows in an exponential form, obeying the famous Moore's law. We theoretically predict that the size of the AS-level Internet will double every 5.32 years. We apply the k-core decomposition method on the real Internet, and find that the size of a k-core with larger k is nearly stable over time. In addition, the maximal coreness is very stable after 2003. In contrast to the predictions of most previous models, the maximal degree of the Internet is also relatively stable versus time. We use the edge-exchange operation to obtain the randomized networks with the same degree sequence. A systematical comparison is drawn, indicating that the real Internet is more loosely connected, and both the full Internet and the nucleus are more disassortative than their randomized versions.

Faculty

Faculté des sciences et de médecine

Department

Département de Physique

Language