%0 Journal Article
%T Stability of the BA Network: a New Approach to Rigorous Proof<br>
%A XU Hong
%A SHI Ding-Hua
%A <br>
%J 中国物理快报
%D 2009
%I 
%X 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.
%K 89
%K 75
%K Hc
%K 02
%K 50
%K Ga
%K 89
%K 75
%K Da<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=9D62D567E3CD53C69A4D1B8C97A066E6&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=38B194292C032A66&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0