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gm-index: a new mentorship index for researchers

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  • Debarshi Kumar Sanyal

    (Indian Institute of Technology Kharagpur
    Kalinga Institute of Industrial Technology (KIIT) Deemed University)

  • Sumana Dey

    (Indian Institute of Technology Kharagpur)

  • Partha Pratim Das

    (Indian Institute of Technology Kharagpur)

Abstract

Advisor–advisee relationships in academic genealogy offer opportunities to understand the contribution of a mentor in shaping the research community. In this paper, we adapt the bibliometric g-index to study the mentorship role of a researcher. We call the new index $$g_m$$gm-index. It has some important differences from the mentorship h-index or the $$h_m$$hm-index. We compute the values of the $$h_m$$hm and $$g_m$$gm indices for researchers indexed in the Mathematics Genealogy Project and the Academic Family Tree. We observe for the majority of researchers, these index values are zero, but in non-zero cases, sometimes, the $$g_m$$gm-index can be significantly higher than the $$h_m$$hm-index. Moreover, the $$g_m$$gm-index decays less rapidly to zero than the $$h_m$$hm-index. It appears the $$g_m$$gm-index can be used to discriminate between researchers with the same $$h_m$$hm-index. We study how these mentorship indices are correlated with other indicators of academic success, and how they are correlated across generations of researchers.

Suggested Citation

  • Debarshi Kumar Sanyal & Sumana Dey & Partha Pratim Das, 2020. "gm-index: a new mentorship index for researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 123(1), pages 71-102, April.
    • Handle: RePEc:spr:scient:v:123:y:2020:i:1:d:10.1007_s11192-020-03384-x
    DOI: 10.1007/s11192-020-03384-x
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    References listed on IDEAS

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    Cited by:

    1. Dhananjay Kumar & Plaban Kumar Bhowmick & Sumana Dey & Debarshi Kumar Sanyal, 2023. "On the banks of Shodhganga: analysis of the academic genealogy graph of an Indian ETD repository," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(7), pages 3879-3914, July.
    2. Jianhua Hou & Bili Zheng & Yang Zhang & Chaomei Chen, 2021. "How do Price medalists’ scholarly impact change before and after their awards?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 5945-5981, July.
    3. Kumar, Dhananjay & Bhowmick, Plaban Kumar & Paik, Jiaul H, 2023. "Researcher influence prediction (ResIP) using academic genealogy network," Journal of Informetrics, Elsevier, vol. 17(2).

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