| The effects of degree correlations on network topologies and robustness |
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| 作者姓名： | 赵 静 陶 林 俞 鸿 骆建华 曹志伟 李亦学 |
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| 作者单位： | School of Life Sciences & Technology,
Shanghai Jiaotong
University, Shanghai 200240, China;Shanghai Center for Bioinformation and Technology,
Shanghai 200235, China;Department of Mathematics, Logistical Engineering
University, Chongqing 400016, China;Shanghai Center for Bioinformation and Technology,
Shanghai 200235, China;Shanghai Center for Bioinformation and Technology,
Shanghai 200235, China;School of Life Sciences & Technology,
Shanghai Jiaotong
University, Shanghai 200240, China;Shanghai Center for Bioinformation and Technology,
Shanghai 200235, China;School of Life Sciences & Technology,
Shanghai Jiaotong
University, Shanghai 200240, China;Shanghai Center for Bioinformation and Technology,
Shanghai 200235, China;Shanghai Institutes for Biological Sciences, Chinese
Academy of Sciences, Shanghai 200031, China |
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| 基金项目： | Project supported by the Research
Foundation from Ministry of Science and Technology, China (Grant Nos
2006AA02Z317, 2004CB720103, 2003CB715901 and 2006AA02312), the
National High Technology Research and Development Program of China
(Grant No 2006AA020805 |
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| 摘 要： | Complex networks have been applied to model numerous interactive nonlinear systems in the real world. Knowledge about network topology is crucial to an understanding of the function, performance and evolution of complex systems. In the last few years, many network metrics and models have been proposed to investigate the network topology, dynamics and evolution. Since these network metrics and models are derived from a wide range of studies, a systematic study is required to investigate the correlations among them. The present paper explores the effect of degree correlation on the other network metrics through studying an ensemble of graphs where the degree sequence （set of degrees） is fixed. We show that to some extent, the characteristic path length, clustering coefficient, modular extent and robustness of networks are directly influenced by the degree correlation.
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| 关 键 词： | 动力学 随机模式 网络合成技术 相互关系 |
| 文章编号： | 1009-1963/2007/16（12）/3571-10 |
| 收稿时间： | 2007-03-20 |
| 修稿时间： | 2007-04-20 |
The effects of degree correlations on network topologies and robustness |
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| Zhao Jing,Tao Lin,Yu Hong,Luo Jian-Hu,Cao Zhi-Wei and Li Yi-Xue.The effects of degree correlations on network topologies and robustness[J].Chinese Physics B,2007,16(12):3571-3580. |
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| Authors: | Zhao Jing Tao Lin Yu Hong Luo Jian-Hu Cao Zhi-Wei and Li Yi-Xue |
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| Abstract: | Complex networks have been applied to model numerous interactive
nonlinear systems in the real world. Knowledge about network topology
is crucial to an understanding of the function, performance and
evolution of complex systems. In the last few years, many network
metrics and models have been proposed to investigate the network
topology, dynamics and evolution. Since these network metrics and
models are derived from a wide range of studies, a systematic study
is required to investigate the correlations among them. The present
paper explores the effect of degree correlation on the other network
metrics through studying an ensemble of graphs where the degree
sequence (set of degrees) is fixed. We show that to some extent, the
characteristic path length, clustering coefficient, modular extent
and robustness of networks are directly influenced by the degree
correlation. |
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| Keywords: | network dynamics random graphs complex networks degree correlation |
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