Induced, endogenous and exogenous centrality |
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Authors: | Martin G. Everett Stephen P. Borgatti |
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Affiliation: | a Mitchell Centre for Social Network Analysis, School of Social Sciences, University of Manchester, Arthur Lewis Building, Bridgeford Street, Manchester M13 9PL, UK;b Department of Management, Gatton College of Business & Economics, University of Kentucky, Lexington, KY 40506, USA |
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Abstract: | Centrality measures are based upon the structural position an actor has within the network. Induced centrality, sometimes called vitality measures, take graph invariants as an overall measure and derive vertex level measures by deleting individual nodes or edges and examining the overall change. By taking the sum of standard centrality measures as the graph invariant we can obtain measures which examine how much centrality an individual node contributes to the centrality of the other nodes in the network, we call this exogenous centrality. We look at exogenous measures of degree, closeness and betweenness. |
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Keywords: | Centrality Degree Closeness Betweenness Vitality measures |
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