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A Faster Katz Status Score Algorithm

Author

Listed:
  • Kurt C. Foster

    (Private Consultants)

  • Stephen Q. Muth

    (Private Consultants)

  • John J. Potterat

    (El Paso County Department of Health)

  • Richard B. Rothenberg

    (Emory University School of Medicine)

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.

Suggested Citation

  • Kurt C. Foster & Stephen Q. Muth & John J. Potterat & Richard B. Rothenberg, 2001. "A Faster Katz Status Score Algorithm," Computational and Mathematical Organization Theory, Springer, vol. 7(4), pages 275-285, December.
    • Handle: RePEc:spr:comaot:v:7:y:2001:i:4:d:10.1023_a:1013470632383
    DOI: 10.1023/A:1013470632383
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    References listed on IDEAS

    as
    1. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
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    Cited by:

    1. Vicenç Quera & Francesc S. Beltran & Ruth Dolado, 2010. "Flocking Behaviour: Agent-Based Simulation and Hierarchical Leadership," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 13(2), pages 1-8.
    2. Wahid-Ul-Ashraf, Akanda & Budka, Marcin & Musial, Katarzyna, 2019. "How to predict social relationships — Physics-inspired approach to link prediction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1110-1129.
    3. Zhou, Wen & Jia, Yifan, 2017. "Predicting links based on knowledge dissemination in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 561-568.

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