| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Stability of the BA Network: a New Approach to Rigorous Proof |
| XU Hong, SHI Ding-Hua |
| Department of Mathematics, Shanghai University, Shanghai 200444 |
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| Cite this article: |
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XU Hong, SHI Ding-Hua 2009 Chin. Phys. Lett. 26 038901 |
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Abstract We propose a new approach to rigorously prove the existence of the steady-state degree distribution for the BA network. The approach is based on a vector Markov chain of vertex numbers in the network evolving process. This framework provides a rigorous theoretical basis for the rate equation approach which has been widely applied to many problems in the field of complex networks, e.g., epidemic spreading and dynamic synchronization.
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| Keywords:
89.75.Hc
02.50.Ga
89.75.Da
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Received: 24 November 2008
Published: 19 February 2009
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