Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/80124
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Logistics and Maritime Studies | - |
dc.creator | Shi, D | - |
dc.creator | Xua, H | - |
dc.creator | Liu L | - |
dc.date.accessioned | 2018-12-21T07:14:59Z | - |
dc.date.available | 2018-12-21T07:14:59Z | - |
dc.identifier.uri | http://hdl.handle.net/10397/80124 | - |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | © 2010 Published by Elsevier Ltd Open access under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/3.0/). | en_US |
dc.rights | 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 | en_US |
dc.subject | BA model | en_US |
dc.subject | Convergence in probability | en_US |
dc.subject | Initial attraction model | en_US |
dc.subject | LCD model | en_US |
dc.subject | Markov chain | en_US |
dc.subject | Scale-free network | en_US |
dc.subject | Stability | en_US |
dc.subject | Vertex number with degree k | en_US |
dc.title | A vertex-number-evolving Markov chain of networks | en_US |
dc.type | Conference Paper | en_US |
dc.identifier.spage | 1757 | - |
dc.identifier.epage | 1765 | - |
dc.identifier.volume | 3 | - |
dc.identifier.issue | 5 | - |
dc.identifier.doi | 10.1016/j.phpro.2010.07.016 | - |
dcterms.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. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Physics procedia, 2010, v. 3, no. 5, p. 1757-1765 | - |
dcterms.isPartOf | Physics procedia | - |
dcterms.issued | 2010 | - |
dc.identifier.scopus | 2-s2.0-78149237791 | - |
dc.identifier.eissn | 1875-3884 | - |
dc.description.validate | 201812 bcrc | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Conference Paper |
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File | Description | Size | Format | |
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Shi_Vertex-Number-Evolving_Markov_Chain.pdf | 296.34 kB | Adobe PDF | View/Open |
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