Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/29627
Title: Dynamical influence of nodes revisited : a Markov chain analysis of epidemic process on networks
Authors: Li, P
Zhang, J
Xu, XK
Small, M
Issue Date: 2012
Publisher: Chinese Physical Society
Source: Chinese physics letters, 2012, v. 29, no. 4, 48903 How to cite?
Journal: Chinese physics letters 
Abstract: We provide a theoretical analysis of node importance from the perspective of dynamical processes on networks. In particular, using Markov chain analysis of the susceptible-infected-susceptible (SIS) epidemic model on networks, we derive the node importance in terms of dynamical behaviors on network in a theoretical way. It is found that this quantity happens to be the eigenvector centrality under some conditions, which bridges the topological centrality measure of the nodes with the dynamical influence of the nodes for the dynamical process. We furthermore discuss the condition under which the eigenvector centrality is valid for dynamical phenomena on networks.
URI: http://hdl.handle.net/10397/29627
ISSN: 0256-307X
EISSN: 1741-3540
DOI: 10.1088/0256-307X/29/4/048903
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