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Article: On multivariate Markov chains for common and non-common objects in multiple networks

TitleOn multivariate Markov chains for common and non-common objects in multiple networks
Authors
KeywordsStationary probability distribution
Transition probability
Multiple networks
Irreducible
Multivariate Markov chains
Issue Date2012
Citation
Numerical Mathematics, 2012, v. 5, n. 3, p. 384-402 How to Cite?
AbstractNode importance or centrality evaluation is an important methodology for network analysis. In this paper, we are interested in the study of objects appearing in several networks. Such common objects are important in network-network interactions via object-object interactions. The main contribution of this paper is to model multiple networks where there are some common objects in a multivariate Markov chain framework, and to develop a method for solving common and non-common objects' stationary probability distributions in the networks. The stationary probability distributions can be used to evaluate the importance of common and non-common objects via network-network interactions. Our experimental results based on examples of co-authorship of researchers in different conferences and paper citations in different categories have shown that the proposed model can provide useful information for researcher-researcher interactions in networks of different conferences and for paperpaper interactions in networks of different categories. © 2012 Global-Science Press.
Persistent Identifierhttp://hdl.handle.net/10722/276927
ISSN
2017 Impact Factor: 0.695
2015 SCImago Journal Rankings: 0.548

 

DC FieldValueLanguage
dc.contributor.authorLi, Xutao-
dc.contributor.authorLi, Wen-
dc.contributor.authorNg, Michael K.-
dc.contributor.authorYe, Yunming-
dc.date.accessioned2019-09-18T08:35:04Z-
dc.date.available2019-09-18T08:35:04Z-
dc.date.issued2012-
dc.identifier.citationNumerical Mathematics, 2012, v. 5, n. 3, p. 384-402-
dc.identifier.issn1004-8979-
dc.identifier.urihttp://hdl.handle.net/10722/276927-
dc.description.abstractNode importance or centrality evaluation is an important methodology for network analysis. In this paper, we are interested in the study of objects appearing in several networks. Such common objects are important in network-network interactions via object-object interactions. The main contribution of this paper is to model multiple networks where there are some common objects in a multivariate Markov chain framework, and to develop a method for solving common and non-common objects' stationary probability distributions in the networks. The stationary probability distributions can be used to evaluate the importance of common and non-common objects via network-network interactions. Our experimental results based on examples of co-authorship of researchers in different conferences and paper citations in different categories have shown that the proposed model can provide useful information for researcher-researcher interactions in networks of different conferences and for paperpaper interactions in networks of different categories. © 2012 Global-Science Press.-
dc.languageeng-
dc.relation.ispartofNumerical Mathematics-
dc.subjectStationary probability distribution-
dc.subjectTransition probability-
dc.subjectMultiple networks-
dc.subjectIrreducible-
dc.subjectMultivariate Markov chains-
dc.titleOn multivariate Markov chains for common and non-common objects in multiple networks-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.4208/nmtma.2012.m1108-
dc.identifier.scopuseid_2-s2.0-84863729182-
dc.identifier.volume5-
dc.identifier.issue3-
dc.identifier.spage384-
dc.identifier.epage402-
dc.identifier.eissn2079-7338-

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