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h-Degree as a basic measure in weighted networks

Author

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  • Zhao, Star X.
  • Rousseau, Ronald
  • Ye, Fred Y.

Abstract

We introduce the h-degree of a node as a basic indicator for weighted networks. The h-degree (dh) of a node is the number dh if this node has at least dh links with other nodes and the strength of each of these links is greater than or equal to dh. Based on the notion of h-degree other notions are developed such as h-centrality and h-centralization, leading to a new set of indicators characterizing nodes in a network.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:infome:v:5:y:2011:i:4:p:668-677
    DOI: 10.1016/j.joi.2011.06.005
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    1. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 2000. "Scale-free characteristics of random networks: the topology of the world-wide web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 69-77.
    2. Johan Bollen & Herbert Van de Sompel & Aric Hagberg & Ryan Chute, 2009. "A Principal Component Analysis of 39 Scientific Impact Measures," PLOS ONE, Public Library of Science, vol. 4(6), pages 1-11, June.
    3. Chen, P. & Redner, S., 2010. "Community structure of the physical review citation network," Journal of Informetrics, Elsevier, vol. 4(3), pages 278-290.
    4. András Schubert & Sándor Soós, 2010. "Mapping of science journals based on h-similarity," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(2), pages 589-600, May.
    5. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    6. Hsin-Ning Su & Pei-Chun Lee, 2010. "Mapping knowledge structure by keyword co-occurrence: a first look at journal papers in Technology Foresight," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(1), pages 65-79, October.
    7. Fred Y. Ye, 2011. "A unification of three models for the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 62(1), pages 205-207, January.
    8. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    9. 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.
    10. Leo Egghe & Ronald Rousseau, 2002. "Co-citation, bibliographic coupling and a characterization of lattice citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 55(3), pages 349-361, November.
    11. Rodriguez, Marko A. & Pepe, Alberto, 2008. "On the relationship between the structural and socioacademic communities of a coauthorship network," Journal of Informetrics, Elsevier, vol. 2(3), pages 195-201.
    12. Katy Börner & Weixia Huang & Micah Linnemeier & Russell J. Duhon & Patrick Phillips & Nianli Ma & Angela M. Zoss & Hanning Guo & Mark A. Price, 2010. "Rete-netzwerk-red: analyzing and visualizing scholarly networks using the Network Workbench Tool," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(3), pages 863-876, June.
    13. Jin-Qing Fang, 2010. "Network Science—Theory and Application," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(6), pages 1297-1298, June.
    14. András Schubert, 2010. "A reference-based Hirschian similarity measure for journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 133-147, July.
    15. András Schubert & András Korn & András Telcs, 2009. "Hirsch-type indices for characterizing networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(2), pages 375-382, February.
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    Citations

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    Cited by:

    1. 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.
    2. Zhao, Star X. & Tan, Alice M. & Yu, Shuang & Xu, Xin, 2018. "Analyzing the research funding in physics: The perspective of production and collaboration at institution level," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 662-674.
    3. Wei, Shelia X. & Tong, Tong & Rousseau, Ronald & Wang, Wanru & Ye, Fred Y., 2022. "Relations among the h-, g-, ψ-, and p-index and offset-ability," Journal of Informetrics, Elsevier, vol. 16(4).
    4. Dong, Ke & Wu, Jiang & Wang, Kaili, 2021. "On the inequality of citation counts of all publications of individual authors," Journal of Informetrics, Elsevier, vol. 15(4).
    5. Zivar Sabaghinejad & Farideh Osareh & Fatima Baji & Parastou Parsaei Mohammadi, 2016. "Estimating the partnership ability of Scientometrics journal authors based on WoS from 2001 to 2013 according to ϕ-index1," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(1), pages 73-84, October.
    6. 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.
    7. 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.
    8. 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.
    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. 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).
    12. András Schubert, 2012. "A Hirsch-type index of co-author partnership ability," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(1), pages 303-308, April.
    13. Guillaume Cabanac, 2013. "Experimenting with the partnership ability φ-index on a million computer scientists," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(1), pages 1-9, July.
    14. 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.
    15. Jean J. Wang & Sarah X. Shao & Fred Y. Ye, 2021. "Identifying 'seed' papers in sciences," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6001-6011, July.
    16. 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.
    17. Zhang, Ronda J. & Ye, Fred Y., 2020. "Measuring similarity for clarifying layer difference in multiplex ad hoc duplex information networks," Journal of Informetrics, Elsevier, vol. 14(1).
    18. 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.
    19. Sima Sobhi-Givi & Azadeh Khazali & Hashem Kalbkhani & Mahrokh G. Shayesteh & Vahid Solouk, 2018. "Joint mode selection and resource allocation in D2D communication based underlaying cellular networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 67(1), pages 47-62, January.
    20. András Schubert, 2015. "Rescaling the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(2), pages 1647-1653, February.

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