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h-Type hybrid centrality measures for weighted networks

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  • Alireza Abbasi

    () (University of New South Wales Canberra)

Abstract

Abstract In this study, new centrality (collaborative) measures are proposed for a node in weighted networks in three different categories. The bibliometric indicators’ concepts (e.g., h-index and g-index) are applied to the network analysis measures in order to introduce the new centrality measures. First category of measures (i.e., l-index, al-index and gl-index) only considers a node’s neighbors’ degree. Second category of measures (i.e., h-Degree, a-Degree and g-Degree) takes into account the links’ weights of a node in a weighted network. Third category of measures (i.e., Hw-Degree, Aw-Degree and Gw-Degree) combines both neighbors’ degree and their links’ weight. Using a co-authorship network, the association between these new measures and the existing measures with scholars’ performance is examined to show the applicability of the new centrality measures. The analysis shows that the scholars’ citation-based performances measures are significantly associated with all the proposed centrality measures but the correlation coefficient for the ones based on average indicators (i.e., a-Degree and Aw-Degree) is the highest.

Suggested Citation

  • Alireza Abbasi, 2013. "h-Type hybrid centrality measures for weighted networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(2), pages 633-640, August.
  • Handle: RePEc:spr:scient:v:96:y:2013:i:2:d:10.1007_s11192-013-0959-y
    DOI: 10.1007/s11192-013-0959-y
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    References listed on IDEAS

    as
    1. Zhao, Star X. & Rousseau, Ronald & Ye, Fred Y., 2011. "h-Degree as a basic measure in weighted networks," Journal of Informetrics, Elsevier, vol. 5(4), pages 668-677.
    2. repec:spr:scient:v:69:y:2006:i:1:d:10.1007_s11192-006-0144-7 is not listed on IDEAS
    3. Abbasi, Alireza & Hossain, Liaquat & Leydesdorff, Loet, 2012. "Betweenness centrality as a driver of preferential attachment in the evolution of research collaboration networks," Journal of Informetrics, Elsevier, vol. 6(3), pages 403-412.
    4. Yan, Xiangbin & Zhai, Li & Fan, Weiguo, 2013. "C-index: A weighted network node centrality measure for collaboration competence," Journal of Informetrics, Elsevier, vol. 7(1), pages 223-239.
    5. repec:spr:scient:v:83:y:2010:i:1:d:10.1007_s11192-009-0139-2 is not listed on IDEAS
    6. Abbasi, Alireza & Altmann, Jörn & Hossain, Liaquat, 2011. "Identifying the effects of co-authorship networks on the performance of scholars: A correlation and regression analysis of performance measures and social network analysis measures," Journal of Informetrics, Elsevier, vol. 5(4), pages 594-607.
    7. Hai Zhuge & Junsheng Zhang, 2010. "Topological centrality and its e-Science applications," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(9), pages 1824-1841, September.
    8. Ingemar Dierickx & Karel Cool, 1989. "Asset Stock Accumulation and Sustainability of Competitive Advantage," Management Science, INFORMS, vol. 35(12), pages 1504-1511, December.
    9. Alireza Abbasi & Jorn Altmann & Junseok Hwang, 2009. "Evaluating Scholars Based on their Academic Collaboration Activities: The RC-Index and CC-Index for Quantifying Collaboration Activities of Researchers and Scientific Communities," TEMEP Discussion Papers 200915, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Sep 2009.
    10. repec:spr:scient:v:91:y:2012:i:1:d:10.1007_s11192-011-0559-7 is not listed on IDEAS
    11. Ingemar Dierickx & Karel Cool, 1989. "Asset Stock Accumulation and the Sustainability of Competitive Advantage: Reply," Management Science, INFORMS, vol. 35(12), pages 1514-1514, December.
    12. Alireza Abbasi & Jorn Altmann, 2010. "A Social Network System for Analyzing Publication Activities of Researchers," TEMEP Discussion Papers 201058, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Apr 2010.
    13. Korn, A. & Schubert, A. & Telcs, A., 2009. "Lobby index in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2221-2226.
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    Cited by:

    1. Ekaterina L. Dyachenko, 2016. "Internal Migration of Scientists in Russia and the USA: The Case of Applied Physics," HSE Working papers WP BRP 58/STI/2016, National Research University Higher School of Economics.
    2. repec:spr:scient:v:112:y:2017:i:3:d:10.1007_s11192-017-2458-z is not listed on IDEAS
    3. repec:spr:scient:v:113:y:2017:i:1:d:10.1007_s11192-017-2478-8 is not listed on IDEAS

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