Fractionalized counting of publications for the <i>g</i>‐Index

Here it is proposed that in the specification of the new gmindex the articles are counted fractionally not only for the rank but also for the average, so the resulting gm-index is always smaller than the original g-index.

Abstract

Abstract L. Egghe ( 2008 ) studied the h ‐index (Hirsch index) and the g ‐index, counting the authorship of cited articles in a fractional way. But his definition of the g F ‐index for the case that the article count is fractionalized yielded values that were close to or even larger than the original g ‐index. Here I propose an alternative definition by which the g ‐index is modified in such a way that the resulting g m ‐index is always smaller than the original g ‐index. Based on the interpretation of the g ‐index as the highest number of articles of a scientist that received on average g or more citations, in the specification of the new g m ‐index the articles are counted fractionally not only for the rank but also for the average.