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Lobby index in networks

Author

Listed:
  • Korn, A.
  • Schubert, A.
  • Telcs, A.

Abstract

We propose a new node centrality measure in networks, the lobby index, which is inspired by Hirsch’s h-index. It is shown that in scale-free networks with exponent α the distribution of the l-index has power tail with exponent α(α+1). Properties of the l-index and extensions are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:11:p:2221-2226
    DOI: 10.1016/j.physa.2009.02.013
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    Citations

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    Cited by:

    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. Wang, JunFang & Guo, JinLi, 2019. "A synergy of punishment and extortion in cooperation dilemmas driven by the leader," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 263-268.
    3. András Schubert, 2015. "X-centage: a Hirsch-inspired indicator for distributions of percentage-valued variables and its use for measuring heterodisciplinarity," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 307-313, January.
    4. Zhai, Li & Yan, Xiangbin & Zhang, Guojing, 2013. "A centrality measure for communication ability in weighted network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6107-6117.
    5. Judit Bar-Ilan & Mark Levene, 2015. "The hw-rank: an h-index variant for ranking web pages," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(3), pages 2247-2253, March.
    6. Wen Zhou & Jiayi Gu & Yifan Jia, 2018. "h-Index-based link prediction methods in citation network," Scientometrics, Springer;Akadémiai Kiadó, vol. 117(1), pages 381-390, October.
    7. Zhao, Star X. & Ye, Fred Y., 2012. "Exploring the directed h-degree in directed weighted networks," Journal of Informetrics, Elsevier, vol. 6(4), pages 619-630.
    8. Wolfgang Glänzel, 2012. "The role of core documents in bibliometric network analysis and their relation with h-type indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(1), pages 113-123, October.
    9. Alireza Abbasi, 2013. "h-Type hybrid centrality measures for weighted networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(2), pages 633-640, August.
    10. R. G. Raj & A. N. Zainab, 2012. "Relative measure index: a metric to measure the quality of journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(2), pages 305-317, November.
    11. Liu, Qiang & Zhu, Yu-Xiao & Jia, Yan & Deng, Lu & Zhou, Bin & Zhu, Jun-Xing & Zou, Peng, 2018. "Leveraging local h-index to identify and rank influential spreaders in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 379-391.
    12. Lee, Yan-Li & Zhou, Tao, 2017. "Fast asynchronous updating algorithms for k-shell indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 524-531.
    13. Merza, Ádám & London, András & Kiss, István Márton & Pelle, Anita & Dombi, József & Németh, Tamás, 2016. "A világkereskedelem hálózatelméleti vizsgálatának lehetőségeiről [The scope for analysis of world trade through network theory]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 79-98.
    14. Wang, Ruby W. & Wei, Shelia X. & Ye, Fred Y., 2021. "Extracting a core structure from heterogeneous information network using h-subnet and meta-path strength," Journal of Informetrics, Elsevier, vol. 15(3).
    15. András Schubert, 2012. "A Hirsch-type index of co-author partnership ability," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(1), pages 303-308, April.
    16. 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.
    17. Zhai, Li & Yan, Xiangbin & Zhang, Guojing, 2018. "Bi-directional h-index: A new measure of node centrality in weighted and directed networks," Journal of Informetrics, Elsevier, vol. 12(1), pages 299-314.
    18. Below, Jonathan von & Nahuelhual, Laura & Eleuterio, Ana Alice & Laterra, Pedro, 2021. "Can participatory action research foster social learning in communities struggling for land tenure?," Land Use Policy, Elsevier, vol. 101(C).
    19. Li Zhai & Xiangbin Yan & Bin Zhu, 2014. "The H l -index: improvement of H-index based on quality of citing papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(2), pages 1021-1031, February.
    20. Campiteli, M.G. & Holanda, A.J. & Soares, L.D.H. & Soles, P.R.C. & Kinouchi, O., 2013. "Lobby index as a network centrality measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5511-5515.
    21. 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.
    22. András Schubert, 2010. "A reference-based Hirschian similarity measure for journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 133-147, July.
    23. András Schubert, 2015. "Rescaling the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(2), pages 1647-1653, February.

    More about this item

    Keywords

    Scale-free networks; Centrality measures;

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