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C-index: A weighted network node centrality measure for collaboration competence

Author

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  • Yan, Xiangbin
  • Zhai, Li
  • Fan, Weiguo

Abstract

This paper proposes a new node centrality measurement index (c-index) and its derivative indexes (iterative c-index and cg-index) to measure the collaboration competence of a node in a weighted network. We prove that c-index observe the power law distribution in the weighted scale-free network. A case study of a very large scientific collaboration network indicates that the indexes proposed in this paper are different from other common centrality measures (degree centrality, betweenness centrality, closeness centrality, eigenvector centrality and node strength) and other h-type indexes (lobby-index, w-lobby index and h-degree). The c-index and its derivative indexes proposed in this paper comprehensively utilize the amount of nodes’ neighbors, link strengths and centrality information of neighbor nodes to measure the centrality of a node, composing a new unique centrality measure for collaborative competency.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:infome:v:7:y:2013:i:1:p:223-239
    DOI: 10.1016/j.joi.2012.11.004
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    4. Li Zhai & Xiujuan Li & Xiangbin Yan & Weiguo Fan, 2014. "Evolutionary analysis of collaboration networks in the field of information systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(3), pages 1657-1677, December.
    5. Fabio Zagonari, 2019. "Scientific Production and Productivity for Characterizing an Author’s Publication History: Simple and Nested Gini’s and Hirsch’s Indexes Combined," Publications, MDPI, vol. 7(2), pages 1-30, May.
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    10. Nasirian, Farzaneh & Mahdavi Pajouh, Foad & Balasundaram, Balabhaskar, 2020. "Detecting a most closeness-central clique in complex networks," European Journal of Operational Research, Elsevier, vol. 283(2), pages 461-475.
    11. Rousseau, Ronald & Zhao, Star X., 2015. "A general conceptual framework for characterizing the ego in a network," Journal of Informetrics, Elsevier, vol. 9(1), pages 145-149.
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    14. Limei Zhao & Qingpu Zhang & Liang Wang, 2014. "Benefit distribution mechanism in the team members’ scientific research collaboration network," Scientometrics, Springer;Akadémiai Kiadó, vol. 100(2), pages 363-389, August.

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