On Fractional Approach to Analysis of Linked Networks (original) (raw)

Abstract

In this paper, we present the outer product decomposition of a product of compatible linked networks. It provides a foundation for the fractional approach in network analysis. We discuss the standard and Newman's normalization of networks. We propose some alternatives for fractional bibliographic coupling measures.

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.

References (20)

  1. Batagelj, V. (2018). Github: biblio -Bibliographic network analysis. https://github.com/bavla/biblio
  2. Batagelj, V. (2007) WoS2Pajek. Networks from Web of Science. Version 1.5 (2017). http://vladowiki.fmf.uni-lj.si/doku.php?id=pajek:wos2pajek
  3. Batagelj, V., Cerinšek, M. (2013). On bibliographic networks. Scientometrics 96 (3), 845-864.
  4. Batagelj, V., Doreian P., V., Ferligoj, A., Kejžar N. (2014). Understanding Large Temporal Networks and Spatial Networks: Exploration, Pattern Searching, Visualization and Network Evolution.
  5. Carley K.M. (2003). Dynamic Network Analysis. in the Summary of the NRC workshop on So- cial Network Modeling and Analysis, Ron Breiger and Kathleen M. Carley (Eds.), National Research Council, p. 133-145.
  6. Cerinšek, M., Batagelj, V. (2017). Semirings and Matrix Analysis of Networks. Encyclopedia of Social Network Analysis and Mining. Reda Alhajj, Jon Rokne (Eds.), Springer, New York.
  7. Cerinšek, M., Batagelj, V. (2015). Network analysis of Zentralblatt MATH data. Scientometrics, 102 (1), 977-1001.
  8. De Nooy, W., Mrvar, A., Batagelj, V. (2018). Exploratory Social Network Analysis with Pa- jek; Revised and Expanded Edition for Updated Software. Structural Analysis in the Social Sciences, CUP.
  9. Diesner, J., Carley, K.M. (2004). Revealing Social Structure from Texts: Meta-Matrix Text Analysis as a Novel Method for Network Text Analysis. Chapter 4 in Causal Mapping for Research in Information Technology, V.K. Narayanan and Deborah J. Armstrong, eds. Idea Group Inc., 2005, p. 81-108.
  10. Gauffriau, M. (2017). A categorization of arguments for counting methods for publication and citation indicators. Journal of Informetrics, 11(3), 672-684.
  11. Kessler, M. (1963). Bibliographic coupling between scientific papers. American Documenta- tion, 14(1): 10-25.
  12. Krackhardt, D., Carley, K.M. (1998). A PCANS Model of Structure in Organization. In Pro- ceedings of the 1998 International Symposium on Command and Control Research and Tech- nology Evidence Based Research: 113-119, Vienna, VA.
  13. Leydesdorff, L., Park, H.W. (2016). Full and Fractional Counting in Bibliometric Networks. Journal of Informetrics Volume 11, Issue 1, February 2017, Pages 117-120.
  14. Lindsey, D. (1980). Production and Citation Measures in the Sociology of Science: The Prob- lem of Multiple Authorship. Social Studies of Science, 10(2), 145-162.
  15. Marshakova, I. (1973). System of documentation connections based on references (sci). Nauchno-Tekhnicheskaya Informatsiya Seriya, 2(6): 3-8.
  16. Newman, M.E.J. (2001). Scientific collaboration networks. II. Shortest paths, weighted net- works, and centrality. Physical Review E, 64(1), 016132.
  17. Newman, M.E.J. (2004). Coauthorship networks and patterns of scientific collaboration. Pro- ceedings of the National Academy of Sciences of the United States of America 101(Suppl1), 5200-5205.
  18. Perianes-Rodriguez, A., Waltman, L., Van Eck, N.J. (2016). Constructing bibliometric net- works: A comparison between full and fractional counting. Journal of Informetrics, 10(4), 1178-1195.
  19. Prathap, G., Mukherjee, S. (2016). A conservation rule for constructing bibliometric network matrices. arXiv 1611.08592
  20. Small, H. (1973). Co-citation in the scientific literature: A new measure of the relationship between two documents. Journal of the American Society for Information Science, 24(4): 265-269.