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The H-Index (h) is a quantitative metric used to measure a researcher’s productivity and citation impact. It combines both the number of publications and the number of citations per publication.
Given a set of n papers with citations c₁, c₂, ..., cₙ sorted in descending order,
h is the largest number such that cₕ ≥ h.
Sort citations in descending order.
Iterate through list:
if citations[i] >= i+1 → continue
else → return i as the H-Index
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Citations | Computed H-Index | Explanation |
---|---|---|
10, 8, 5, 3, 2 | 3 | Top 3 papers have at least 3 citations |
20, 15, 12, 10, 8 | 5 | All 5 papers have ≥ 5 citations |
6, 5, 3, 1, 1 | 3 | Top 3 papers meet threshold |
50, 1, 0, 0 | 1 | Only one paper with ≥ 1 citation |
0, 0, 0 | 0 | No cited publications |
5, 5, 5, 5, 4 | 5 | Each of the 5 papers has at least 5 citations |
6, 5, 5, 4, 3, 1 | 4 | Four papers have ≥ 4 citations |