Year: 2012
Numerical Mathematics: Theory, Methods and Applications, Vol. 5 (2012), Iss. 3 : pp. 384–402
Abstract
Node 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 paper-paper interactions in networks of different categories.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2012.m1108
Numerical Mathematics: Theory, Methods and Applications, Vol. 5 (2012), Iss. 3 : pp. 384–402
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Transition probability multivariate Markov chains stationary probability distribution irreducible multiple networks.
-
A General Recommendation Model for Heterogeneous Networks
Pham, Tuan-Anh Nguyen | Li, Xutao | Cong, Gao | Zhang, ZhenjieIEEE Transactions on Knowledge and Data Engineering, Vol. 28 (2016), Iss. 12 P.3140
https://doi.org/10.1109/TKDE.2016.2601091 [Citations: 58] -
On Perturbation Bounds for the Joint Stationary Distribution of Multivariate Markov Chain Models
Li, Wen | Jiang, Lin | Ching, Wai-Ki | Cui, Lu-BinEast Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 1 P.1
https://doi.org/10.4208/eajam.291112.090113a [Citations: 3]