Computational & Mathematical Organization Theory

, Volume 7, Issue 4, pp 275–285 | Cite as

A Faster Katz Status Score Algorithm

  • Kurt C. Foster
  • Stephen Q. Muth
  • John J. Potterat
  • Richard B. Rothenberg
Article

Abstract

A new graph theoretical algorithm to calculate Katz status scores reduces computational complexity from time O(n3) 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.

graph theory centrality rank prestige influence Katz status 

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Kurt C. Foster
    • 1
  • Stephen Q. Muth
    • 1
  • John J. Potterat
    • 2
  • Richard B. Rothenberg
    • 3
  1. 1.Private ConsultantsColorado SpringsUSA
  2. 2.El Paso County Department of HealthColorado SpringsUSA
  3. 3.Emory University School of MedicineAtlantaUSA

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