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http://hdl.handle.net/10397/80124
Title: | A vertex-number-evolving Markov chain of networks | Authors: | Shi, D Xua, H Liu L |
Issue Date: | 2010 | Source: | Physics procedia, 2010, v. 3, no. 5, p. 1757-1765 | Abstract: | We have introduced a vector Markov chain of the vertex number with degree k in network evolving process as a framework of theoretical analysis and proved the stability of the BA-1 model and the LCD-1 model. In this paper, we use the vertex-number-evolving Markov chain to prove rigorously the existence of the steady-state degree distribution P(k) for a special case of the initial attraction model allowing multiple edges. The application of our approach to the LCD-m model, the result shows that it is more simpler than Bollobás' method. | Keywords: | BA model Convergence in probability Initial attraction model LCD model Markov chain Scale-free network Stability Vertex number with degree k |
Publisher: | Elsevier | Journal: | Physics procedia | EISSN: | 1875-3884 | DOI: | 10.1016/j.phpro.2010.07.016 | Rights: | © 2010 Published by Elsevier Ltd Open access under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/3.0/). The following publication Shi, D., Xua, H., & Liu, L. (2010). A vertex-number-evolving Markov chain of networks. Physics procedia, 2010, 3(5), 1757-1765 is available at https://dx.doi.org/10.1016/j.phpro.2010.07.016 |
Appears in Collections: | Conference Paper |
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Shi_Vertex-Number-Evolving_Markov_Chain.pdf | 296.34 kB | Adobe PDF | View/Open |
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