gm-index: a new mentorship index for researchers

Debarshi Kumar Sanyal (), Sumana Dey () and Partha Pratim Das ()
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Debarshi Kumar Sanyal: Indian Institute of Technology Kharagpur
Sumana Dey: Indian Institute of Technology Kharagpur
Partha Pratim Das: Indian Institute of Technology Kharagpur

Scientometrics, 2020, vol. 123, issue 1, No 4, 102 pages

Abstract: 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.

Keywords: Academic genealogy; g-index; h-index; Mentoring; Mathematics Genealogy Project; Academic Family Tree (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11192-020-03384-x

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