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Citation Breakdown
Blue = counts towards H-index · Green = counts towards G-index threshold.
| Rank | Citations | Cumulative | g² threshold | H ✓ | G ✓ |
|---|
G-Index
The result — largest number satisfying the condition
Threshold
Cumulative citations must meet or exceed g-squared
H-Index
G-Index is always ≥ H-Index by definition
G–H Gap
Large gap = breakthrough papers with outsized impact
Papers: 120, 45, 20, 8, 3 — G=5, H=4
Cumulative after top 5 = 196 ≥ 5² (25) → G=5. The H-index is 4 (4 papers ≥ 4 citations). The 120-citation landmark paper pushes G above H. G captures what H misses.
G-Index vs H-Index
Proposed by Leo Egghe in 2006, the G-index fixes the H-index's biggest blind spot: H treats a paper cited 10 times identically to one cited 10,000 times — as long as both are above the H-threshold. The G-index gives exponentially more weight to papers with truly exceptional citation counts.
The G-index is particularly important in fields where one or two landmark papers dominate a researcher's profile — physics, genomics, machine learning. For researchers with evenly distributed citations, G and H converge closely.
G-Index is always ≥ H-Index. The ratio G/H signals how far top papers exceed expectations. H=10, G=25 means a few papers are carrying extraordinary citation weight. → Calculate your H-Index
Where Do You Stand?
g ≤ 5 — Early Career / PhD
Typical for doctoral students and early postdocs. Building a citation base. Normal for first 1–3 years of research output.
g 6–15 — Active Researcher / Postdoc
Solid mid-career range. Competitive for research fellowships and assistant professor applications in most fields.
g 16–25 — Associate / Full Professor
Strong established academic. Indicates sustained, field-relevant output with several high-impact papers.
g ≥ 26 — Highly Influential
Elite researchers and field leaders. Often includes at least one breakthrough paper with hundreds or thousands of citations.
Frequently Asked Questions
Formula & Calculation Method
G-Index (Egghe, 2006)
g = max{g : top g papers together have ≥ g² citations}
g— G-Index — largest integer such that the top g most-cited papers have at least g² citations combined
Source: Egghe, L. (2006). 'Theory and practice of the g-index.' Scientometrics 69(1): 131–152
Relationship to H-Index
g ≥ h (always)
g— G-Indexh— H-Index
Source: Egghe (2006) — G-Index dominates H-Index for any researcher
Authoritative Sources & Standards
- NSF: NSF PAPPG (Proposal & Award Policies & Procedures Guide) accepts G-Index alongside H-Index in productivity metrics for biographical sketches. → NSF
Expert Insights & Research
G-Index addresses H-Index's main weakness: it accounts for highly-cited outliers. A researcher with one paper cited 1,000× and 9 papers cited 0× has H=1 but G=10. This better captures impact concentration in landmark papers.
Empirically, G-Index correlates strongly with peer assessment of research impact (r ≈ 0.85 in physics, biomedicine; Bornmann et al., 2008). Recommended alongside H-Index for senior researcher evaluation.
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For informational purposes only — not financial, medical, or legal advice. Results are estimates; use at your own risk. Full terms