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A Faster Katz Status Score Algorithm
Authors:Kurt C Foster  Stephen Q Muth  John J Potterat  Richard B Rothenberg
Institution:(1) Private Consultants, Colorado Springs, CO, USA;(2) El Paso County Department of Health, Colorado Springs, CO, USA;(3) Emory University School of Medicine, Atlanta, GA, USA
Abstract:A new graph theoretical algorithm to calculate Katz status scores reduces computational complexity from time O(n 3) to O(n + m). Randomly-generated graphs as well as data from a large empiric study are used to test the performance of two commercial network analysis packages (GRADAP and UCINET V), compared to the performance achieved by the authors' algorithm, implemented in Visual Basic.
Keywords:graph theory  centrality  rank prestige  influence  Katz status
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