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Critical thresholds for co-citation clusters and emergence of the giant component

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  • Small, Henry

Abstract

The behavior of co-citation clusters is studied over a wide range of similarity values, and we demonstrate the existence of critical or percolation transitions marked by a sudden expansion of cluster size with a small decrease in similarity which, in most cases, reflects the emergence of a giant component on the overall graph for the dataset. The study was motivated by the question of how to set appropriate thresholds for delineating individual research areas that identify, as far as possible, natural boundaries, in view of the fact that a threshold or criterion appropriate for one area may not be appropriate for another. We explore the rate of change in cluster size as a possible boundary indicator. The relationship of this critical behavior to maps of science is discussed.

Suggested Citation

  • Small, Henry, 2009. "Critical thresholds for co-citation clusters and emergence of the giant component," Journal of Informetrics, Elsevier, vol. 3(4), pages 332-340.
    • Handle: RePEc:eee:infome:v:3:y:2009:i:4:p:332-340
    DOI: 10.1016/j.joi.2009.05.001
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    1. Tomassini, Marco & Luthi, Leslie, 2007. "Empirical analysis of the evolution of a scientific collaboration network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 750-764.
    2. Henry Small, 1999. "Visualizing science by citation mapping," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 50(9), pages 799-813.
    3. D. S. Callaway & J. E. Hopcroft & J. M. Kleinberg & M. E. J. Newman & S. H. Strogatz, 2001. "Are Randomly Grown Graphs Really Random?," Working Papers 01-05-025, Santa Fe Institute.
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    Cited by:

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    3. Masaki Eto, 2013. "Evaluations of context-based co-citation searching," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(2), pages 651-673, February.
    4. Rocco Palumbo & Mohammad Fakhar Manesh & Massimiliano M. Pellegrini & Giulia Flamini, 2020. "Exploiting Inter-Organizational Relationships in Health Care: A Bibliometric Analysis and Literature Review," Administrative Sciences, MDPI, vol. 10(3), pages 1-22, August.
    5. Neelam Kaushal & Rahul Pratap Singh Kaurav & Brijesh Sivathanu & Neeraj Kaushik, 2023. "Artificial intelligence and HRM: identifying future research Agenda using systematic literature review and bibliometric analysis," Management Review Quarterly, Springer, vol. 73(2), pages 455-493, June.
    6. Neelam Kaushal & Neeraj Kaushik & Brijesh Sivathanu, 2021. "Workplace ostracism in various organizations: a systematic review and bibliometric analysis," Management Review Quarterly, Springer, vol. 71(4), pages 783-818, October.
    7. Hervas Oliver,Jose Luis & Gonzalez,Gregorio & Caja,Pedro, 2014. "Clusters and industrial districts: where is the literature going? Identifying emerging sub-fields of research," INGENIO (CSIC-UPV) Working Paper Series 201409, INGENIO (CSIC-UPV).
    8. Satish Kumar & Riya Sureka & Sisira Colombage, 2020. "Capital structure of SMEs: a systematic literature review and bibliometric analysis," Management Review Quarterly, Springer, vol. 70(4), pages 535-565, November.
    9. Myriam Ertz & Sébastien Leblanc-Proulx, 2019. "Review of a proposed methodology for bibliometric and visualization analyses for organizations: application to the collaboration economy," Journal of Marketing Analytics, Palgrave Macmillan, vol. 7(2), pages 84-93, June.
    10. Aparna Basu & Roland Wagner Dobler, 2012. "‘Cognitive mobility’ or migration of authors between fields used in mapping a network of mathematics," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(2), pages 353-368, May.

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