The g-index is a well-known index for measuring and comparing the output of scientific researchers, which has been introduced by Leo Egghe in 2006 as an improvement of the Hirsch-index. This article gives an axiomatic characterization of the g-index in terms of three natural axioms.

We provide a new axiomatic characterization of the Hirsch-index. This new characterization is based on a simple and appealing symmetry axiom which essentially imposes that the number of citations and the number of publications should be treated in the same way and should be measured in the same...

In a recent paper, Chambers and Miller introduced two fundamental axioms for scientific research indices. We perform a detailed analysis of these two axioms, thereby providing clean combinatorial characterizations of the research indices that satisfy these axioms and of the so-called step-based...