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Evolutionary events in a mathematical sciences research collaboration network

Author

Listed:
  • Jason Cory Brunson

    (Virginia Bioinformatics Institute)

  • Steve Fassino

    (University of Tennessee)

  • Antonio McInnes

    (Oakwood University)

  • Monisha Narayan

    (Michigan State University)

  • Brianna Richardson

    (Oakwood University)

  • Christopher Franck

    (Laboratory for Interdisciplinary Statistical Analysis)

  • Patrick Ion

    (Mathematical Reviews)

  • Reinhard Laubenbacher

    (University of Connecticut Health Center)

Abstract

This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985–2009. Rather than modeling the network cumulatively, this study traces the evolution of the “here and now” using fixed-duration sliding windows. The analysis uses a suite of common network diagnostics, including the distributions of degrees, distances, and clustering, to track network structure. Several random models that call these diagnostics as parameters help tease them apart as factors from the values of others. Some behaviors are consistent over the entire interval, but most diagnostics indicate that the network’s structural evolution is dominated by occasional dramatic shifts in otherwise steady trends. These behaviors are not distributed evenly across the network; stark differences in evolution can be observed between two major subnetworks, loosely thought of as “pure” and “applied”, which approximately partition the aggregate. The paper characterizes two major events along the mathematics network trajectory and discusses possible explanatory factors.

Suggested Citation

  • Jason Cory Brunson & Steve Fassino & Antonio McInnes & Monisha Narayan & Brianna Richardson & Christopher Franck & Patrick Ion & Reinhard Laubenbacher, 2014. "Evolutionary events in a mathematical sciences research collaboration network," Scientometrics, Springer;Akadémiai Kiadó, vol. 99(3), pages 973-998, June.
    • Handle: RePEc:spr:scient:v:99:y:2014:i:3:d:10.1007_s11192-013-1209-z
    DOI: 10.1007/s11192-013-1209-z
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    References listed on IDEAS

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    1. Fernanda Morillo & María Bordons & Isabel Gómez, 2003. "Interdisciplinarity in science: A tentative typology of disciplines and research areas," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 54(13), pages 1237-1249, November.
    2. Alan L Porter & J David Roessner & Alex S Cohen & Marty Perreault, 2006. "Interdisciplinary research: meaning, metrics and nurture," Research Evaluation, Oxford University Press, vol. 15(3), pages 187-195, December.
    3. George J. Borjas & Kirk B. Doran, 2021. "The Collapse Of The Soviet Union And The Productivity Of American Mathematicians," World Scientific Book Chapters, in: Foundational Essays in Immigration Economics, chapter 11, pages 313-373, World Scientific Publishing Co. Pte. Ltd..
    4. Perc, Matjaž, 2010. "Growth and structure of Slovenia’s scientific collaboration network," Journal of Informetrics, Elsevier, vol. 4(4), pages 475-482.
    5. 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.
    6. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April.
    7. A. Barrat & M. Weigt, 2000. "On the properties of small-world network models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 13(3), pages 547-560, February.
    8. Jian Qin & F. W. Lancaster & Bryce Allen, 1997. "Types and levels of collaboration in interdisciplinary research in the sciences," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 48(10), pages 893-916, October.
    9. Barabási, A.L & Jeong, H & Néda, Z & Ravasz, E & Schubert, A & Vicsek, T, 2002. "Evolution of the social network of scientific collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 590-614.
    10. Wagner, Caroline S. & Roessner, J. David & Bobb, Kamau & Klein, Julie Thompson & Boyack, Kevin W. & Keyton, Joann & Rafols, Ismael & Börner, Katy, 2011. "Approaches to understanding and measuring interdisciplinary scientific research (IDR): A review of the literature," Journal of Informetrics, Elsevier, vol. 5(1), pages 14-26.
    11. Peder Olesen Larsen & Markus Ins, 2010. "The rate of growth in scientific publication and the decline in coverage provided by Science Citation Index," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(3), pages 575-603, September.
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    Cited by:

    1. Jason Cory Brunson & Xiaoyan Wang & Reinhard C Laubenbacher, 2017. "Effects of research complexity and competition on the incidence and growth of coauthorship in biomedicine," PLOS ONE, Public Library of Science, vol. 12(3), pages 1-23, March.
    2. Chin-Chang Tsai & Elizabeth A. Corley & Barry Bozeman, 2016. "Collaboration experiences across scientific disciplines and cohorts," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(2), pages 505-529, August.
    3. Deise Deolindo Silva & Maria Cláudia Cabrini Grácio, 2021. "Dispersion measures for h-index: a study of the Brazilian researchers in the field of mathematics," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(3), pages 1983-2011, March.

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