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Contemporary h-Index×e-Index (Excess Citations)×g-Index (Egghe)×m-Quotient (Hirsch m)×
FieldBibliometricsBibliometricsBibliometricsBibliometrics
FamilyProcess / pipelineProcess / pipelineProcess / pipelineProcess / pipeline
Year of origin2007200920062005
OriginatorAntonis Sidiropoulos, Dimitrios Katsaros & Yannis ManolopoulosChun-Ting ZhangLeo EggheJorge E. Hirsch
TypeAge-discounted author impact indexAuthor-level excess-citation impact indexAuthor-level cumulative-citation impact indexCareer-length-normalized author impact rate
Seminal sourceSidiropoulos, A., Katsaros, D., & Manolopoulos, Y. (2007). Generalized Hirsch h-index for disclosing latent facts in citation networks. Scientometrics, 72(2), 253-280. DOI ↗Zhang, C.-T. (2009). The e-index, complementing the h-index for excess citations. PLoS ONE, 4(5), e5429. DOI ↗Egghe, L. (2006). Theory and practise of the g-index. Scientometrics, 69(1), 131-152. DOI ↗Hirsch, J. E. (2005). An index to quantify an individual's scientific research output. Proceedings of the National Academy of Sciences, 102(46), 16569-16572. DOI ↗
Aliaseshc-index, time-weighted h-index, age-decayed h-indexZhang e-index, excess citation index, e indexEgghe g-index, Egghe index, g indexHirsch m-quotient, m-parameter, h-index per year
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SummaryThe contemporary h-index, introduced by Sidiropoulos, Katsaros, and Manolopoulos in 2007, modifies Hirsch's h-index to reward recent scientific activity over old laurels. The plain h-index never decreases and treats a citation earned decades ago the same as one earned last year, so a researcher who has stopped publishing can coast on an aging body of work. The contemporary index assigns each paper an age-discounted score, multiplying its citation count by a factor that shrinks as the paper grows older, and then applies the usual h-index ranking criterion to these scores. The result distinguishes currently active, recently impactful researchers from those whose reputation rests on distant achievements.The e-index, proposed by Chun-Ting Zhang in 2009, isolates the citations that the h-index throws away. Inside the h-core of an author's h most-cited papers, the h-index implicitly credits each paper with only h citations and discards everything above that, even though top papers may have far more. The e-index recovers exactly this surplus: it is the square root of the difference between the total citations of the h-core and the h-squared citations that the h-index already accounts for. Zhang designed it as a complement rather than a replacement for the h-index, so that the pair (h, e) together describe both the size of an author's productive core and the concentration of excess impact within it.The g-index, introduced by Leo Egghe in 2006, is an author-level bibliometric indicator designed to repair a structural weakness of Hirsch's h-index: its insensitivity to the size of the most-cited papers. Where the h-index caps the credit any single paper can earn at h, the g-index lets exceptionally cited articles raise an author's score. It is defined as the largest number g such that the g most-cited papers together accumulate at least g-squared citations. Because it rests on cumulative rather than per-paper citation counts, the g-index always equals or exceeds the h-index and rewards researchers whose impact is concentrated in a few landmark works as well as those with broad, steady output.The m-quotient, defined by Jorge Hirsch in the same 2005 paper that introduced the h-index, normalizes an author's h-index by the length of their scientific career. Because the h-index can only grow over time and never decreases, raw h-values systematically favor senior researchers and make it unfair to compare early-career scientists with established ones. The m-quotient divides the h-index by the number of years since the researcher's first publication, yielding a rate of impact accumulation per year. Hirsch proposed rough benchmarks on this scale, suggesting that a sustained value near 1 characterizes a successful scientist, near 2 an outstanding one, and near 3 a truly exceptional figure, making the m-quotient a tool for comparing researchers at different career stages.
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ScholarGateCompare methods: Contemporary h-Index · e-Index (Excess Citations) · g-Index (Egghe) · m-Quotient (Hirsch m). Retrieved 2026-06-24 from https://scholargate.app/en/compare