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A measure of centrality in cyclic diffusion processes: Walk-betweenness

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  • Yoosik Youm
  • Byungkyu Lee
  • Junsol Kim

Abstract

Unlike many traditional measures of centrality based on paths that do not allow any repeated nodes or lines, we propose a new measure of centrality based on walks, walk-betweenness, that allows any number of repeated nodes or lines. To illustrate the value of walk-betweenness, we examine the transmission of syphilis in Chicago area and the diffusion of microfinance in 43 rural Indian villages. Walk-betweenness allows us to identify hidden bridging communities in Chicago that were essential in the transmission dynamics. We also find that village leaders with high walk-betweenness are more likely to accelerate the rate of microfinance take-up among their followers, outperforming other traditional centrality measures in regression analyses.

Suggested Citation

  • Yoosik Youm & Byungkyu Lee & Junsol Kim, 2021. "A measure of centrality in cyclic diffusion processes: Walk-betweenness," PLOS ONE, Public Library of Science, vol. 16(1), pages 1-23, January.
    • Handle: RePEc:plo:pone00:0245476
    DOI: 10.1371/journal.pone.0245476
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    Cited by:

    1. Jaemin Lee & Mudit Kumar Singh, 2024. "Expansion, cohesion and diversity: The network advantages of microfinance groups in Indian villages," Journal of International Development, John Wiley & Sons, Ltd., vol. 36(1), pages 559-586, January.

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