Description
To compare researchers with each other¹, we need to have a measure that can represent how influential and successful they have been by a single number. One way to do so is to look at how many times…
Summary
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- My main concern was to understand how the total number of citations N and the h-index h can be related to each other and how much additional information the h-index contains.² In what follows, I first discuss the relation between h and N in theory.
- The area under the curve The area under function f is equal to the total number of citations N. This leads us to a quick conclusion that h is bounded by the square root of the total number of citations⁴, i.e.
- √N.
- Note that this bound is tight: the next panels show f(n) (solid line) for three different values of b (corresponding to the stars in the 1st panel).