Woegingerʹs axiomatisation of the h-index and its relation to the g-index, the h(2)-index and the R2-index

Recently Woeginger [Woeginger, G. H. (2008-a). An axiomatic characterization for the Hirsch-index. Mathematical Social Sciences. An axiomatic analysis of Eggheʹs g-index. Journal of Informetrics] introduced a set of axioms for scientific impact measures. These lead to a characterization of the h-index. In this note we consider a slight generalization and check which of Woegingerʹs axioms are satisfied by the g-index, the h(2)-index and the R2-index.