, Volume 97, Issue 2, pp 435–442 | Cite as

Small-world phenomenon of keywords network based on complex network

  • Danhao Zhu
  • Dongbo Wang
  • Saeed-Ul Hassan
  • Peter Haddawy


Based on the network comprised of 111,444 keywords of library and information science that are extracted from Scopus, and taken into consideration the major properties of average distance and clustering coefficients, the present authors, with the knowledge of complex network and by means of calculation, reveal the small-world effect of the keywords network. On the basis of the keywords network, the betweenness centrality is used to carry out a preliminary study on how to detect the research hotspots of a discipline. This method is also compared with that of detecting research hotspots by word frequency.


Keywords network Small-world Average distance Clustering coefficient Betweenness centrality 


  1. Albert, R., & Barabasi, A. L. (2002). Statistical mechanics of complex networks. Reviews of Modern Physics, 74(1), 47–97.MathSciNetCrossRefzbMATHGoogle Scholar
  2. Amancio, D. R., Nunes, M. G. V., et al. (2012). Using complex networks concepts to assess approaches for citations in scientific papers. Scientometrics, 91(33), 827–842.CrossRefGoogle Scholar
  3. Borgattia, S. P., & Everettb, M. G. (2006). A graph-theoretic perspective on centrality. Social Networks, 28(4), 466–484.CrossRefGoogle Scholar
  4. Chen, Z., & Guan, J. (2010). The impact of small world on innovation: An empirical study of 16 countries. Journal of Informetrics, 4(01), 97–106.MathSciNetCrossRefGoogle Scholar
  5. Coblijn, L. B. (2012). Syntactic trees and small-world networks: syntactic development as a dynamical process. Adaptive Behavior, 20(6), 427–442.CrossRefGoogle Scholar
  6. Dorogovtsev, S. N., & Mendes, J. F. F. (2002). Evolution of networks. Advances in Physics, 51(4), 1079–1187.CrossRefGoogle Scholar
  7. Erdős, P., & Rényi, A. (1960). On the evolution of random graphs. Publications of the Mathematical Institute of the Hungarian Academy of Sciences, 5, 17–61.Google Scholar
  8. Freeman, L. C. (1979). Centrality in social networks conceptual clarification. Social Networks, 1(03), 215–239.CrossRefGoogle Scholar
  9. Guan, J., & Shi, Y. (2012). Transnational citation, technological diversity and small world in global nanotechnology patenting. Scientometrics, 93(3), 609–633.CrossRefGoogle Scholar
  10. Gure, J. (1990). Six degrees of separation: A play. New York: Vintage Books.Google Scholar
  11. Hawick, K. A., Leist, A., & Playne, D. P. (2011). Regular lattice and small-world spin model simulations using CUDA and GPUs. International Journal of Parallel Programming, 39(2), 183–201.CrossRefGoogle Scholar
  12. Hung, S., & Wang, A. (2010). Examining the small world phenomenon in the patent citation network: A case study of the radio frequency identification (RFID) network. Scientometrics, 82(01), 121–134.CrossRefGoogle Scholar
  13. Jeong, H., Tombor, B., et al. (2000). The large-scale organization of metabolic networks. Nature, 407(6804), 651–654.CrossRefGoogle Scholar
  14. Milgram, S. (1967). The small world problem. Psychology Today, 2, 60–67.Google Scholar
  15. Newman, M. E. J., & Watts, D. J. (1999). Renormalization group analysis of the small-world network model. Physics Letters A, 263, 341–346.MathSciNetCrossRefzbMATHGoogle Scholar
  16. Schnettler, S. (2009). A structured overview of 50 years of small-world research. Social Networks, 31(3), 165–178.CrossRefGoogle Scholar
  17. Shenela, B., & Lakhani, S. B. (2012). It’s a small world: fusion of cultures in genetic counseling. Journal of Genetic Counseling, 21(02), 20–208.Google Scholar
  18. Strogatz, S. H. (2001). Exploring complex networks. Nature, 410(6825), 268–276.CrossRefGoogle Scholar
  19. Wallace, M. L., Larivière, V., & Gingras, Y. (2012). A small world of citations? The influence of collaboration networks on citation practices. PLoS One, 7(3), e33339.CrossRefGoogle Scholar
  20. Watts, D. J., & Strogatz, W. S. (1998). Collective dynamics of “small-world” networks. Nature, 393(6684), 409–410.CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2013

Authors and Affiliations

  • Danhao Zhu
    • 1
  • Dongbo Wang
    • 2
  • Saeed-Ul Hassan
    • 1
  • Peter Haddawy
    • 1
  1. 1.United Nations University International Institute of Software Technology MacaoChina
  2. 2.College of Information Science and TechnologyNanjing Agricultural UniversityNanjingChina

Personalised recommendations