# Just curious, what kind of case could have multiple possible values of h?

• In the problem description, there is a line "Note: If there are several possible values for h, the maximum one is taken as the h-index."
I cannot come up with an example that could have several possible values for h.
IMO, there is only one value for h for each example according to the definition of H-Index.
Please correct me if i'm wrong.
Thanks!

• @Tsien I kind of agree with you on that. What do your think of it? @1337c0d3r

Let's just suppose there are two different `H-index` a and b (a < b) then

1. there are b of his/her N papers have at least `b` citations each, and the other N − b papers have no more than `b` citations each
2. then there are at least `b` of his/her N papers have at least `a` citations each (since a < b), and the are no chance that there will be other `N − a` (`N-b` at most actually) papers have no more than `a` citations each

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